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Finding the Third Proportional to 725,415,400.69 and 1,573,992,253.13

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Solution

The third proportional to 725,415,400.69 and 1,573,992,253.13 is: 3,415,217,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,415,400.69 : 1,573,992,253.13 = 1,573,992,253.13 : x
  2. Step 2: Convert to fraction form
    725,415,400.69/1,573,992,253.13 = 1,573,992,253.13/x
  3. Step 3: Cross multiply
    725,415,400.69x = 1,573,992,253.13 × 1,573,992,253.13
  4. Step 4: Simplify right side
    725,415,400.69x = 2,477,451,612,897,513,984
  5. Step 5: Solve for x
    x = 2,477,451,612,897,513,984/725,415,400.69
  6. Step 6: Final answer
    x = 3,415,217,833.19

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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.