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Finding the Third Proportional to 10,642,517 and 23,345,161

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Solution

The third proportional to 10,642,517 and 23,345,161 is: 51,209,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,517 : 23,345,161 = 23,345,161 : x
  2. Step 2: Convert to fraction form
    10,642,517/23,345,161 = 23,345,161/x
  3. Step 3: Cross multiply
    10,642,517x = 23,345,161 × 23,345,161
  4. Step 4: Simplify right side
    10,642,517x = 544,996,542,115,921
  5. Step 5: Solve for x
    x = 544,996,542,115,921/10,642,517
  6. Step 6: Final answer
    x = 51,209,365.43

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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.