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Finding the Third Proportional to 9,656,941 and 14,486,565

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Solution

The third proportional to 9,656,941 and 14,486,565 is: 21,731,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,941 : 14,486,565 = 14,486,565 : x
  2. Step 2: Convert to fraction form
    9,656,941/14,486,565 = 14,486,565/x
  3. Step 3: Cross multiply
    9,656,941x = 14,486,565 × 14,486,565
  4. Step 4: Simplify right side
    9,656,941x = 209,860,565,499,225
  5. Step 5: Solve for x
    x = 209,860,565,499,225/9,656,941
  6. Step 6: Final answer
    x = 21,731,577.89

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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.