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Finding the Third Proportional to 721,930,056.75 and 1,581,744,084.75

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Solution

The third proportional to 721,930,056.75 and 1,581,744,084.75 is: 3,465,591,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,930,056.75 : 1,581,744,084.75 = 1,581,744,084.75 : x
  2. Step 2: Convert to fraction form
    721,930,056.75/1,581,744,084.75 = 1,581,744,084.75/x
  3. Step 3: Cross multiply
    721,930,056.75x = 1,581,744,084.75 × 1,581,744,084.75
  4. Step 4: Simplify right side
    721,930,056.75x = 2,501,914,349,641,615,360
  5. Step 5: Solve for x
    x = 2,501,914,349,641,615,360/721,930,056.75
  6. Step 6: Final answer
    x = 3,465,591,058.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.