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Finding the Third Proportional to 75,569,040 and 156,515,616

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Solution

The third proportional to 75,569,040 and 156,515,616 is: 324,168,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569,040 : 156,515,616 = 156,515,616 : x
  2. Step 2: Convert to fraction form
    75,569,040/156,515,616 = 156,515,616/x
  3. Step 3: Cross multiply
    75,569,040x = 156,515,616 × 156,515,616
  4. Step 4: Simplify right side
    75,569,040x = 24,497,138,051,859,456
  5. Step 5: Solve for x
    x = 24,497,138,051,859,456/75,569,040
  6. Step 6: Final answer
    x = 324,168,972.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.