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Finding the Third Proportional to 9,535,982 and 14,391,453

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Solution

The third proportional to 9,535,982 and 14,391,453 is: 21,719,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535,982 : 14,391,453 = 14,391,453 : x
  2. Step 2: Convert to fraction form
    9,535,982/14,391,453 = 14,391,453/x
  3. Step 3: Cross multiply
    9,535,982x = 14,391,453 × 14,391,453
  4. Step 4: Simplify right side
    9,535,982x = 207,113,919,451,209
  5. Step 5: Solve for x
    x = 207,113,919,451,209/9,535,982
  6. Step 6: Final answer
    x = 21,719,202.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.