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Finding the Third Proportional to 48,451,981 and 72,713,408

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Solution

The third proportional to 48,451,981 and 72,713,408 is: 109,123,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,451,981 : 72,713,408 = 72,713,408 : x
  2. Step 2: Convert to fraction form
    48,451,981/72,713,408 = 72,713,408/x
  3. Step 3: Cross multiply
    48,451,981x = 72,713,408 × 72,713,408
  4. Step 4: Simplify right side
    48,451,981x = 5,287,239,702,974,464
  5. Step 5: Solve for x
    x = 5,287,239,702,974,464/48,451,981
  6. Step 6: Final answer
    x = 109,123,292.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.