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Finding the Third Proportional to 10,829,538 and 24,079,788

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Solution

The third proportional to 10,829,538 and 24,079,788 is: 53,542,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829,538 : 24,079,788 = 24,079,788 : x
  2. Step 2: Convert to fraction form
    10,829,538/24,079,788 = 24,079,788/x
  3. Step 3: Cross multiply
    10,829,538x = 24,079,788 × 24,079,788
  4. Step 4: Simplify right side
    10,829,538x = 579,836,190,124,944
  5. Step 5: Solve for x
    x = 579,836,190,124,944/10,829,538
  6. Step 6: Final answer
    x = 53,542,098.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.