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Finding the Third Proportional to 9,656,928 and 14,486,544

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Solution

The third proportional to 9,656,928 and 14,486,544 is: 21,731,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,928 : 14,486,544 = 14,486,544 : x
  2. Step 2: Convert to fraction form
    9,656,928/14,486,544 = 14,486,544/x
  3. Step 3: Cross multiply
    9,656,928x = 14,486,544 × 14,486,544
  4. Step 4: Simplify right side
    9,656,928x = 209,859,957,063,936
  5. Step 5: Solve for x
    x = 209,859,957,063,936/9,656,928
  6. Step 6: Final answer
    x = 21,731,544.14

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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.