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Finding the Third Proportional to 125,732,736 and 274,839,624

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Solution

The third proportional to 125,732,736 and 274,839,624 is: 600,772,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,732,736 : 274,839,624 = 274,839,624 : x
  2. Step 2: Convert to fraction form
    125,732,736/274,839,624 = 274,839,624/x
  3. Step 3: Cross multiply
    125,732,736x = 274,839,624 × 274,839,624
  4. Step 4: Simplify right side
    125,732,736x = 75,536,818,920,461,376
  5. Step 5: Solve for x
    x = 75,536,818,920,461,376/125,732,736
  6. Step 6: Final answer
    x = 600,772,887.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.