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Finding the Third Proportional to 6,486,624 and 10,175,544

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Solution

The third proportional to 6,486,624 and 10,175,544 is: 15,962,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486,624 : 10,175,544 = 10,175,544 : x
  2. Step 2: Convert to fraction form
    6,486,624/10,175,544 = 10,175,544/x
  3. Step 3: Cross multiply
    6,486,624x = 10,175,544 × 10,175,544
  4. Step 4: Simplify right side
    6,486,624x = 103,541,695,695,936
  5. Step 5: Solve for x
    x = 103,541,695,695,936/6,486,624
  6. Step 6: Final answer
    x = 15,962,339.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.