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Finding the Third Proportional to 10,693,874.25 and 23,092,283.25

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Solution

The third proportional to 10,693,874.25 and 23,092,283.25 is: 49,865,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693,874.25 : 23,092,283.25 = 23,092,283.25 : x
  2. Step 2: Convert to fraction form
    10,693,874.25/23,092,283.25 = 23,092,283.25/x
  3. Step 3: Cross multiply
    10,693,874.25x = 23,092,283.25 × 23,092,283.25
  4. Step 4: Simplify right side
    10,693,874.25x = 533,253,545,698,230.56
  5. Step 5: Solve for x
    x = 533,253,545,698,230.56/10,693,874.25
  6. Step 6: Final answer
    x = 49,865,327.87

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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.