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Finding the Third Proportional to 75,569,052 and 156,515,640

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Solution

The third proportional to 75,569,052 and 156,515,640 is: 324,169,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569,052 : 156,515,640 = 156,515,640 : x
  2. Step 2: Convert to fraction form
    75,569,052/156,515,640 = 156,515,640/x
  3. Step 3: Cross multiply
    75,569,052x = 156,515,640 × 156,515,640
  4. Step 4: Simplify right side
    75,569,052x = 24,497,145,564,609,600
  5. Step 5: Solve for x
    x = 24,497,145,564,609,600/75,569,052
  6. Step 6: Final answer
    x = 324,169,020.47

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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.