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Finding the Third Proportional to 4,987,320.75 and 10,737,445.50

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Solution

The third proportional to 4,987,320.75 and 10,737,445.50 is: 23,117,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987,320.75 : 10,737,445.50 = 10,737,445.50 : x
  2. Step 2: Convert to fraction form
    4,987,320.75/10,737,445.50 = 10,737,445.50/x
  3. Step 3: Cross multiply
    4,987,320.75x = 10,737,445.50 × 10,737,445.50
  4. Step 4: Simplify right side
    4,987,320.75x = 115,292,735,865,470.25
  5. Step 5: Solve for x
    x = 115,292,735,865,470.25/4,987,320.75
  6. Step 6: Final answer
    x = 23,117,168.85

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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.