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Finding the Third Proportional to 8,016,684 and 12,418,416

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Solution

The third proportional to 8,016,684 and 12,418,416 is: 19,237,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016,684 : 12,418,416 = 12,418,416 : x
  2. Step 2: Convert to fraction form
    8,016,684/12,418,416 = 12,418,416/x
  3. Step 3: Cross multiply
    8,016,684x = 12,418,416 × 12,418,416
  4. Step 4: Simplify right side
    8,016,684x = 154,217,055,949,056
  5. Step 5: Solve for x
    x = 154,217,055,949,056/8,016,684
  6. Step 6: Final answer
    x = 19,237,013.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.