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Finding the Third Proportional to 7,854,432 and 16,948,164

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Solution

The third proportional to 7,854,432 and 16,948,164 is: 36,570,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854,432 : 16,948,164 = 16,948,164 : x
  2. Step 2: Convert to fraction form
    7,854,432/16,948,164 = 16,948,164/x
  3. Step 3: Cross multiply
    7,854,432x = 16,948,164 × 16,948,164
  4. Step 4: Simplify right side
    7,854,432x = 287,240,262,970,896
  5. Step 5: Solve for x
    x = 287,240,262,970,896/7,854,432
  6. Step 6: Final answer
    x = 36,570,469.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.