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Finding the Third Proportional to 47,977,408 and 68,377,484

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Solution

The third proportional to 47,977,408 and 68,377,484 is: 97,451,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977,408 : 68,377,484 = 68,377,484 : x
  2. Step 2: Convert to fraction form
    47,977,408/68,377,484 = 68,377,484/x
  3. Step 3: Cross multiply
    47,977,408x = 68,377,484 × 68,377,484
  4. Step 4: Simplify right side
    47,977,408x = 4,675,480,318,170,256
  5. Step 5: Solve for x
    x = 4,675,480,318,170,256/47,977,408
  6. Step 6: Final answer
    x = 97,451,707.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.