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Finding the Third Proportional to 123,570,729 and 266,278,337

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Solution

The third proportional to 123,570,729 and 266,278,337 is: 573,794,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,570,729 : 266,278,337 = 266,278,337 : x
  2. Step 2: Convert to fraction form
    123,570,729/266,278,337 = 266,278,337/x
  3. Step 3: Cross multiply
    123,570,729x = 266,278,337 × 266,278,337
  4. Step 4: Simplify right side
    123,570,729x = 70,904,152,755,485,568
  5. Step 5: Solve for x
    x = 70,904,152,755,485,568/123,570,729
  6. Step 6: Final answer
    x = 573,794,079.95

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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.