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Finding the Third Proportional to 47,977,404 and 68,377,479

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Solution

The third proportional to 47,977,404 and 68,377,479 is: 97,451,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977,404 : 68,377,479 = 68,377,479 : x
  2. Step 2: Convert to fraction form
    47,977,404/68,377,479 = 68,377,479/x
  3. Step 3: Cross multiply
    47,977,404x = 68,377,479 × 68,377,479
  4. Step 4: Simplify right side
    47,977,404x = 4,675,479,634,395,441
  5. Step 5: Solve for x
    x = 4,675,479,634,395,441/47,977,404
  6. Step 6: Final answer
    x = 97,451,701.10

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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.