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Finding the Third Proportional to 22,432,921.73 and 48,694,417.73

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Solution

The third proportional to 22,432,921.73 and 48,694,417.73 is: 105,699,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,921.73 : 48,694,417.73 = 48,694,417.73 : x
  2. Step 2: Convert to fraction form
    22,432,921.73/48,694,417.73 = 48,694,417.73/x
  3. Step 3: Cross multiply
    22,432,921.73x = 48,694,417.73 × 48,694,417.73
  4. Step 4: Simplify right side
    22,432,921.73x = 2,371,146,318,489,814.50
  5. Step 5: Solve for x
    x = 2,371,146,318,489,814.50/22,432,921.73
  6. Step 6: Final answer
    x = 105,699,397.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.