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Finding the Third Proportional to 10,134,083.25 and 22,294,962

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Solution

The third proportional to 10,134,083.25 and 22,294,962 is: 49,048,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134,083.25 : 22,294,962 = 22,294,962 : x
  2. Step 2: Convert to fraction form
    10,134,083.25/22,294,962 = 22,294,962/x
  3. Step 3: Cross multiply
    10,134,083.25x = 22,294,962 × 22,294,962
  4. Step 4: Simplify right side
    10,134,083.25x = 497,065,330,581,444
  5. Step 5: Solve for x
    x = 497,065,330,581,444/10,134,083.25
  6. Step 6: Final answer
    x = 49,048,869.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.