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Finding the Third Proportional to 10,100,117 and 15,671,218

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Solution

The third proportional to 10,100,117 and 15,671,218 is: 24,315,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,117 : 15,671,218 = 15,671,218 : x
  2. Step 2: Convert to fraction form
    10,100,117/15,671,218 = 15,671,218/x
  3. Step 3: Cross multiply
    10,100,117x = 15,671,218 × 15,671,218
  4. Step 4: Simplify right side
    10,100,117x = 245,587,073,603,524
  5. Step 5: Solve for x
    x = 245,587,073,603,524/10,100,117
  6. Step 6: Final answer
    x = 24,315,270.17

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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.