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Finding the Third Proportional to 7,454,002 and 15,971,048

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Solution

The third proportional to 7,454,002 and 15,971,048 is: 34,219,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454,002 : 15,971,048 = 15,971,048 : x
  2. Step 2: Convert to fraction form
    7,454,002/15,971,048 = 15,971,048/x
  3. Step 3: Cross multiply
    7,454,002x = 15,971,048 × 15,971,048
  4. Step 4: Simplify right side
    7,454,002x = 255,074,374,218,304
  5. Step 5: Solve for x
    x = 255,074,374,218,304/7,454,002
  6. Step 6: Final answer
    x = 34,219,788.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.