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Finding the Third Proportional to 7,612,498 and 16,739,120

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Solution

The third proportional to 7,612,498 and 16,739,120 is: 36,807,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,498 : 16,739,120 = 16,739,120 : x
  2. Step 2: Convert to fraction form
    7,612,498/16,739,120 = 16,739,120/x
  3. Step 3: Cross multiply
    7,612,498x = 16,739,120 × 16,739,120
  4. Step 4: Simplify right side
    7,612,498x = 280,198,138,374,400
  5. Step 5: Solve for x
    x = 280,198,138,374,400/7,612,498
  6. Step 6: Final answer
    x = 36,807,646.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.