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Finding the Third Proportional to 7,664,464 and 10,656,720

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Solution

The third proportional to 7,664,464 and 10,656,720 is: 14,817,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,464 : 10,656,720 = 10,656,720 : x
  2. Step 2: Convert to fraction form
    7,664,464/10,656,720 = 10,656,720/x
  3. Step 3: Cross multiply
    7,664,464x = 10,656,720 × 10,656,720
  4. Step 4: Simplify right side
    7,664,464x = 113,565,681,158,400
  5. Step 5: Solve for x
    x = 113,565,681,158,400/7,664,464
  6. Step 6: Final answer
    x = 14,817,171.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.