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Finding the Third Proportional to 5,042,737.75 and 7,569,270.50

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Solution

The third proportional to 5,042,737.75 and 7,569,270.50 is: 11,361,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042,737.75 : 7,569,270.50 = 7,569,270.50 : x
  2. Step 2: Convert to fraction form
    5,042,737.75/7,569,270.50 = 7,569,270.50/x
  3. Step 3: Cross multiply
    5,042,737.75x = 7,569,270.50 × 7,569,270.50
  4. Step 4: Simplify right side
    5,042,737.75x = 57,293,855,902,170.25
  5. Step 5: Solve for x
    x = 57,293,855,902,170.25/5,042,737.75
  6. Step 6: Final answer
    x = 11,361,656.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.