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Finding the Third Proportional to 24,486,864 and 53,449,920

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Solution

The third proportional to 24,486,864 and 53,449,920 is: 116,670,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486,864 : 53,449,920 = 53,449,920 : x
  2. Step 2: Convert to fraction form
    24,486,864/53,449,920 = 53,449,920/x
  3. Step 3: Cross multiply
    24,486,864x = 53,449,920 × 53,449,920
  4. Step 4: Simplify right side
    24,486,864x = 2,856,893,948,006,400
  5. Step 5: Solve for x
    x = 2,856,893,948,006,400/24,486,864
  6. Step 6: Final answer
    x = 116,670,470.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.