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Finding the Third Proportional to 125,753,349,744 and 272,724,482,304

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Solution

The third proportional to 125,753,349,744 and 272,724,482,304 is: 591,464,508,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,753,349,744 : 272,724,482,304 = 272,724,482,304 : x
  2. Step 2: Convert to fraction form
    125,753,349,744/272,724,482,304 = 272,724,482,304/x
  3. Step 3: Cross multiply
    125,753,349,744x = 272,724,482,304 × 272,724,482,304
  4. Step 4: Simplify right side
    125,753,349,744x = 74,378,643,247,984,810,131,456
  5. Step 5: Solve for x
    x = 74,378,643,247,984,810,131,456/125,753,349,744
  6. Step 6: Final answer
    x = 591,464,508,893.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.