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Finding the Third Proportional to 10,613,226.66 and 22,740,046.31

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Solution

The third proportional to 10,613,226.66 and 22,740,046.31 is: 48,723,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613,226.66 : 22,740,046.31 = 22,740,046.31 : x
  2. Step 2: Convert to fraction form
    10,613,226.66/22,740,046.31 = 22,740,046.31/x
  3. Step 3: Cross multiply
    10,613,226.66x = 22,740,046.31 × 22,740,046.31
  4. Step 4: Simplify right side
    10,613,226.66x = 517,109,706,294,644.88
  5. Step 5: Solve for x
    x = 517,109,706,294,644.88/10,613,226.66
  6. Step 6: Final answer
    x = 48,723,137.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.