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Finding the Third Proportional to 9,137,729 and 13,708,416

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Solution

The third proportional to 9,137,729 and 13,708,416 is: 20,565,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137,729 : 13,708,416 = 13,708,416 : x
  2. Step 2: Convert to fraction form
    9,137,729/13,708,416 = 13,708,416/x
  3. Step 3: Cross multiply
    9,137,729x = 13,708,416 × 13,708,416
  4. Step 4: Simplify right side
    9,137,729x = 187,920,669,229,056
  5. Step 5: Solve for x
    x = 187,920,669,229,056/9,137,729
  6. Step 6: Final answer
    x = 20,565,358.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.