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Finding the Third Proportional to 123,570,734 and 266,278,364

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Solution

The third proportional to 123,570,734 and 266,278,364 is: 573,794,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,570,734 : 266,278,364 = 266,278,364 : x
  2. Step 2: Convert to fraction form
    123,570,734/266,278,364 = 266,278,364/x
  3. Step 3: Cross multiply
    123,570,734x = 266,278,364 × 266,278,364
  4. Step 4: Simplify right side
    123,570,734x = 70,904,167,134,516,496
  5. Step 5: Solve for x
    x = 70,904,167,134,516,496/123,570,734
  6. Step 6: Final answer
    x = 573,794,173.10

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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.