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Finding the Third Proportional to 250,055,995,418 and 536,411,704,373

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Solution

The third proportional to 250,055,995,418 and 536,411,704,373 is: 1,150,692,332,360.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,055,995,418 : 536,411,704,373 = 536,411,704,373 : x
  2. Step 2: Convert to fraction form
    250,055,995,418/536,411,704,373 = 536,411,704,373/x
  3. Step 3: Cross multiply
    250,055,995,418x = 536,411,704,373 × 536,411,704,373
  4. Step 4: Simplify right side
    250,055,995,418x = 287,737,516,588,346,759,970,816
  5. Step 5: Solve for x
    x = 287,737,516,588,346,759,970,816/250,055,995,418
  6. Step 6: Final answer
    x = 1,150,692,332,360.83

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