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Finding the Third Proportional to 2,981,414,792 and 6,459,702,943

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Solution

The third proportional to 2,981,414,792 and 6,459,702,943 is: 13,995,959,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,414,792 : 6,459,702,943 = 6,459,702,943 : x
  2. Step 2: Convert to fraction form
    2,981,414,792/6,459,702,943 = 6,459,702,943/x
  3. Step 3: Cross multiply
    2,981,414,792x = 6,459,702,943 × 6,459,702,943
  4. Step 4: Simplify right side
    2,981,414,792x = 41,727,762,111,802,859,520
  5. Step 5: Solve for x
    x = 41,727,762,111,802,859,520/2,981,414,792
  6. Step 6: Final answer
    x = 13,995,959,979.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.