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Finding the Third Proportional to 22,741,007 and 49,466,473

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Solution

The third proportional to 22,741,007 and 49,466,473 is: 107,599,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741,007 : 49,466,473 = 49,466,473 : x
  2. Step 2: Convert to fraction form
    22,741,007/49,466,473 = 49,466,473/x
  3. Step 3: Cross multiply
    22,741,007x = 49,466,473 × 49,466,473
  4. Step 4: Simplify right side
    22,741,007x = 2,446,931,951,059,729
  5. Step 5: Solve for x
    x = 2,446,931,951,059,729/22,741,007
  6. Step 6: Final answer
    x = 107,599,982.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.