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Finding the Third Proportional to 10,592,424 and 22,456,023.75

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Solution

The third proportional to 10,592,424 and 22,456,023.75 is: 47,606,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592,424 : 22,456,023.75 = 22,456,023.75 : x
  2. Step 2: Convert to fraction form
    10,592,424/22,456,023.75 = 22,456,023.75/x
  3. Step 3: Cross multiply
    10,592,424x = 22,456,023.75 × 22,456,023.75
  4. Step 4: Simplify right side
    10,592,424x = 504,273,002,660,564.06
  5. Step 5: Solve for x
    x = 504,273,002,660,564.06/10,592,424
  6. Step 6: Final answer
    x = 47,606,950.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.