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Finding the Third Proportional to 349,253,569 and 536,827,761

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Solution

The third proportional to 349,253,569 and 536,827,761 is: 825,142,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,253,569 : 536,827,761 = 536,827,761 : x
  2. Step 2: Convert to fraction form
    349,253,569/536,827,761 = 536,827,761/x
  3. Step 3: Cross multiply
    349,253,569x = 536,827,761 × 536,827,761
  4. Step 4: Simplify right side
    349,253,569x = 288,184,044,980,273,120
  5. Step 5: Solve for x
    x = 288,184,044,980,273,120/349,253,569
  6. Step 6: Final answer
    x = 825,142,734.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.