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Finding the Third Proportional to 10,093,764 and 22,141,541

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Solution

The third proportional to 10,093,764 and 22,141,541 is: 48,569,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,764 : 22,141,541 = 22,141,541 : x
  2. Step 2: Convert to fraction form
    10,093,764/22,141,541 = 22,141,541/x
  3. Step 3: Cross multiply
    10,093,764x = 22,141,541 × 22,141,541
  4. Step 4: Simplify right side
    10,093,764x = 490,247,837,854,681
  5. Step 5: Solve for x
    x = 490,247,837,854,681/10,093,764
  6. Step 6: Final answer
    x = 48,569,377.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.