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Finding the Third Proportional to 10,253,534 and 22,128,254

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Solution

The third proportional to 10,253,534 and 22,128,254 is: 47,755,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253,534 : 22,128,254 = 22,128,254 : x
  2. Step 2: Convert to fraction form
    10,253,534/22,128,254 = 22,128,254/x
  3. Step 3: Cross multiply
    10,253,534x = 22,128,254 × 22,128,254
  4. Step 4: Simplify right side
    10,253,534x = 489,659,625,088,516
  5. Step 5: Solve for x
    x = 489,659,625,088,516/10,253,534
  6. Step 6: Final answer
    x = 47,755,205.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.