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Finding the Third Proportional to 21,873,348 and 47,864,034

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Solution

The third proportional to 21,873,348 and 47,864,034 is: 104,737,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873,348 : 47,864,034 = 47,864,034 : x
  2. Step 2: Convert to fraction form
    21,873,348/47,864,034 = 47,864,034/x
  3. Step 3: Cross multiply
    21,873,348x = 47,864,034 × 47,864,034
  4. Step 4: Simplify right side
    21,873,348x = 2,290,965,750,753,156
  5. Step 5: Solve for x
    x = 2,290,965,750,753,156/21,873,348
  6. Step 6: Final answer
    x = 104,737,772.69

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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.