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Finding the Third Proportional to 123,570,720 and 266,278,320

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Solution

The third proportional to 123,570,720 and 266,278,320 is: 573,794,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,570,720 : 266,278,320 = 266,278,320 : x
  2. Step 2: Convert to fraction form
    123,570,720/266,278,320 = 266,278,320/x
  3. Step 3: Cross multiply
    123,570,720x = 266,278,320 × 266,278,320
  4. Step 4: Simplify right side
    123,570,720x = 70,904,143,702,022,400
  5. Step 5: Solve for x
    x = 70,904,143,702,022,400/123,570,720
  6. Step 6: Final answer
    x = 573,794,048.48

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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.