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Finding the Third Proportional to 10,592,424 and 22,456,023

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Solution

The third proportional to 10,592,424 and 22,456,023 is: 47,606,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592,424 : 22,456,023 = 22,456,023 : x
  2. Step 2: Convert to fraction form
    10,592,424/22,456,023 = 22,456,023/x
  3. Step 3: Cross multiply
    10,592,424x = 22,456,023 × 22,456,023
  4. Step 4: Simplify right side
    10,592,424x = 504,272,968,976,529
  5. Step 5: Solve for x
    x = 504,272,968,976,529/10,592,424
  6. Step 6: Final answer
    x = 47,606,947.10

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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.