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Finding the Third Proportional to 24,712,348 and 51,469,984

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Solution

The third proportional to 24,712,348 and 51,469,984 is: 107,199,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712,348 : 51,469,984 = 51,469,984 : x
  2. Step 2: Convert to fraction form
    24,712,348/51,469,984 = 51,469,984/x
  3. Step 3: Cross multiply
    24,712,348x = 51,469,984 × 51,469,984
  4. Step 4: Simplify right side
    24,712,348x = 2,649,159,252,960,256
  5. Step 5: Solve for x
    x = 2,649,159,252,960,256/24,712,348
  6. Step 6: Final answer
    x = 107,199,819.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.