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Finding the Third Proportional to 47,977,398 and 68,377,471.50

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Solution

The third proportional to 47,977,398 and 68,377,471.50 is: 97,451,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,977,398 : 68,377,471.50 = 68,377,471.50 : x
  2. Step 2: Convert to fraction form
    47,977,398/68,377,471.50 = 68,377,471.50/x
  3. Step 3: Cross multiply
    47,977,398x = 68,377,471.50 × 68,377,471.50
  4. Step 4: Simplify right side
    47,977,398x = 4,675,478,608,733,312
  5. Step 5: Solve for x
    x = 4,675,478,608,733,312/47,977,398
  6. Step 6: Final answer
    x = 97,451,691.91

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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.