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Finding the Third Proportional to 3,095,547,497,798.70 and 6,734,580,740,022.30

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Solution

The third proportional to 3,095,547,497,798.70 and 6,734,580,740,022.30 is: 14,651,552,843,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095,547,497,798.70 : 6,734,580,740,022.30 = 6,734,580,740,022.30 : x
  2. Step 2: Convert to fraction form
    3,095,547,497,798.70/6,734,580,740,022.30 = 6,734,580,740,022.30/x
  3. Step 3: Cross multiply
    3,095,547,497,798.70x = 6,734,580,740,022.30 × 6,734,580,740,022.30
  4. Step 4: Simplify right side
    3,095,547,497,798.70x = 45,354,577,743,879,310,084,669,440
  5. Step 5: Solve for x
    x = 45,354,577,743,879,310,084,669,440/3,095,547,497,798.70
  6. Step 6: Final answer
    x = 14,651,552,843,602.55

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