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Finding the Third Proportional to 10,793,016 and 22,984,320

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Solution

The third proportional to 10,793,016 and 22,984,320 is: 48,946,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793,016 : 22,984,320 = 22,984,320 : x
  2. Step 2: Convert to fraction form
    10,793,016/22,984,320 = 22,984,320/x
  3. Step 3: Cross multiply
    10,793,016x = 22,984,320 × 22,984,320
  4. Step 4: Simplify right side
    10,793,016x = 528,278,965,862,400
  5. Step 5: Solve for x
    x = 528,278,965,862,400/10,793,016
  6. Step 6: Final answer
    x = 48,946,371.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.