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Finding the Third Proportional to 10,226,433 and 22,377,063

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Solution

The third proportional to 10,226,433 and 22,377,063 is: 48,964,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226,433 : 22,377,063 = 22,377,063 : x
  2. Step 2: Convert to fraction form
    10,226,433/22,377,063 = 22,377,063/x
  3. Step 3: Cross multiply
    10,226,433x = 22,377,063 × 22,377,063
  4. Step 4: Simplify right side
    10,226,433x = 500,732,948,505,969
  5. Step 5: Solve for x
    x = 500,732,948,505,969/10,226,433
  6. Step 6: Final answer
    x = 48,964,575.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.