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Finding the Third Proportional to 4,569,891 and 9,926,454.75

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Solution

The third proportional to 4,569,891 and 9,926,454.75 is: 21,561,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569,891 : 9,926,454.75 = 9,926,454.75 : x
  2. Step 2: Convert to fraction form
    4,569,891/9,926,454.75 = 9,926,454.75/x
  3. Step 3: Cross multiply
    4,569,891x = 9,926,454.75 × 9,926,454.75
  4. Step 4: Simplify right side
    4,569,891x = 98,534,503,903,797.56
  5. Step 5: Solve for x
    x = 98,534,503,903,797.56/4,569,891
  6. Step 6: Final answer
    x = 21,561,674.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.