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Finding the Third Proportional to 10,635,036 and 23,194,902

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Solution

The third proportional to 10,635,036 and 23,194,902 is: 50,587,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635,036 : 23,194,902 = 23,194,902 : x
  2. Step 2: Convert to fraction form
    10,635,036/23,194,902 = 23,194,902/x
  3. Step 3: Cross multiply
    10,635,036x = 23,194,902 × 23,194,902
  4. Step 4: Simplify right side
    10,635,036x = 538,003,478,789,604
  5. Step 5: Solve for x
    x = 538,003,478,789,604/10,635,036
  6. Step 6: Final answer
    x = 50,587,838.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.