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Finding the Third Proportional to 22,465,944 and 48,511,723.50

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Solution

The third proportional to 22,465,944 and 48,511,723.50 is: 104,753,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465,944 : 48,511,723.50 = 48,511,723.50 : x
  2. Step 2: Convert to fraction form
    22,465,944/48,511,723.50 = 48,511,723.50/x
  3. Step 3: Cross multiply
    22,465,944x = 48,511,723.50 × 48,511,723.50
  4. Step 4: Simplify right side
    22,465,944x = 2,353,387,316,940,452
  5. Step 5: Solve for x
    x = 2,353,387,316,940,452/22,465,944
  6. Step 6: Final answer
    x = 104,753,546.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.