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Finding the Third Proportional to 747,317,469 and 1,605,539,253

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Solution

The third proportional to 747,317,469 and 1,605,539,253 is: 3,449,345,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,317,469 : 1,605,539,253 = 1,605,539,253 : x
  2. Step 2: Convert to fraction form
    747,317,469/1,605,539,253 = 1,605,539,253/x
  3. Step 3: Cross multiply
    747,317,469x = 1,605,539,253 × 1,605,539,253
  4. Step 4: Simplify right side
    747,317,469x = 2,577,756,292,923,798,016
  5. Step 5: Solve for x
    x = 2,577,756,292,923,798,016/747,317,469
  6. Step 6: Final answer
    x = 3,449,345,692.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.