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Finding the Third Proportional to 10,441,471 and 22,625,009

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Solution

The third proportional to 10,441,471 and 22,625,009 is: 49,024,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441,471 : 22,625,009 = 22,625,009 : x
  2. Step 2: Convert to fraction form
    10,441,471/22,625,009 = 22,625,009/x
  3. Step 3: Cross multiply
    10,441,471x = 22,625,009 × 22,625,009
  4. Step 4: Simplify right side
    10,441,471x = 511,891,032,250,081
  5. Step 5: Solve for x
    x = 511,891,032,250,081/10,441,471
  6. Step 6: Final answer
    x = 49,024,800.46

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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.