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Finding the Third Proportional to 49,098,347 and 73,647,511

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Solution

The third proportional to 49,098,347 and 73,647,511 is: 110,471,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098,347 : 73,647,511 = 73,647,511 : x
  2. Step 2: Convert to fraction form
    49,098,347/73,647,511 = 73,647,511/x
  3. Step 3: Cross multiply
    49,098,347x = 73,647,511 × 73,647,511
  4. Step 4: Simplify right side
    49,098,347x = 5,423,955,876,495,121
  5. Step 5: Solve for x
    x = 5,423,955,876,495,121/49,098,347
  6. Step 6: Final answer
    x = 110,471,252.25

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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.