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Finding the Third Proportional to 3,095,547,497,737.80 and 6,734,580,739,907.70

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Solution

The third proportional to 3,095,547,497,737.80 and 6,734,580,739,907.70 is: 14,651,552,843,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,547,497,737.80 : 6,734,580,739,907.70 = 6,734,580,739,907.70 : x
  2. Step 2: Convert to fraction form
    3,095,547,497,737.80/6,734,580,739,907.70 = 6,734,580,739,907.70/x
  3. Step 3: Cross multiply
    3,095,547,497,737.80x = 6,734,580,739,907.70 × 6,734,580,739,907.70
  4. Step 4: Simplify right side
    3,095,547,497,737.80x = 45,354,577,742,335,750,378,094,592
  5. Step 5: Solve for x
    x = 45,354,577,742,335,750,378,094,592/3,095,547,497,737.80
  6. Step 6: Final answer
    x = 14,651,552,843,392.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.