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Finding the Third Proportional to 350,471,407.50 and 747,851,593.50

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Solution

The third proportional to 350,471,407.50 and 747,851,593.50 is: 1,595,799,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,471,407.50 : 747,851,593.50 = 747,851,593.50 : x
  2. Step 2: Convert to fraction form
    350,471,407.50/747,851,593.50 = 747,851,593.50/x
  3. Step 3: Cross multiply
    350,471,407.50x = 747,851,593.50 × 747,851,593.50
  4. Step 4: Simplify right side
    350,471,407.50x = 559,282,005,900,489,216
  5. Step 5: Solve for x
    x = 559,282,005,900,489,216/350,471,407.50
  6. Step 6: Final answer
    x = 1,595,799,240.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.