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Finding the Third Proportional to 3,095,547,497,769 and 6,734,580,739,964.80

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Solution

The third proportional to 3,095,547,497,769 and 6,734,580,739,964.80 is: 14,651,552,843,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,547,497,769 : 6,734,580,739,964.80 = 6,734,580,739,964.80 : x
  2. Step 2: Convert to fraction form
    3,095,547,497,769/6,734,580,739,964.80 = 6,734,580,739,964.80/x
  3. Step 3: Cross multiply
    3,095,547,497,769x = 6,734,580,739,964.80 × 6,734,580,739,964.80
  4. Step 4: Simplify right side
    3,095,547,497,769x = 45,354,577,743,104,832,991,920,128
  5. Step 5: Solve for x
    x = 45,354,577,743,104,832,991,920,128/3,095,547,497,769
  6. Step 6: Final answer
    x = 14,651,552,843,492.94

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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.