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Finding the Third Proportional to 812,951,020.13 and 1,293,564,888

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Solution

The third proportional to 812,951,020.13 and 1,293,564,888 is: 2,058,316,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,951,020.13 : 1,293,564,888 = 1,293,564,888 : x
  2. Step 2: Convert to fraction form
    812,951,020.13/1,293,564,888 = 1,293,564,888/x
  3. Step 3: Cross multiply
    812,951,020.13x = 1,293,564,888 × 1,293,564,888
  4. Step 4: Simplify right side
    812,951,020.13x = 1,673,310,119,466,452,480
  5. Step 5: Solve for x
    x = 1,673,310,119,466,452,480/812,951,020.13
  6. Step 6: Final answer
    x = 2,058,316,033.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.