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Finding the Third Proportional to 6,553,720 and 10,175,636

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Solution

The third proportional to 6,553,720 and 10,175,636 is: 15,799,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,720 : 10,175,636 = 10,175,636 : x
  2. Step 2: Convert to fraction form
    6,553,720/10,175,636 = 10,175,636/x
  3. Step 3: Cross multiply
    6,553,720x = 10,175,636 × 10,175,636
  4. Step 4: Simplify right side
    6,553,720x = 103,543,568,004,496
  5. Step 5: Solve for x
    x = 103,543,568,004,496/6,553,720
  6. Step 6: Final answer
    x = 15,799,205.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.