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Finding the Third Proportional to 10,693,840 and 23,092,218

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Solution

The third proportional to 10,693,840 and 23,092,218 is: 49,865,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693,840 : 23,092,218 = 23,092,218 : x
  2. Step 2: Convert to fraction form
    10,693,840/23,092,218 = 23,092,218/x
  3. Step 3: Cross multiply
    10,693,840x = 23,092,218 × 23,092,218
  4. Step 4: Simplify right side
    10,693,840x = 533,250,532,159,524
  5. Step 5: Solve for x
    x = 533,250,532,159,524/10,693,840
  6. Step 6: Final answer
    x = 49,865,205.78

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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.