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Finding the Third Proportional to 4,292,584 and 9,096,926

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Solution

The third proportional to 4,292,584 and 9,096,926 is: 19,278,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292,584 : 9,096,926 = 9,096,926 : x
  2. Step 2: Convert to fraction form
    4,292,584/9,096,926 = 9,096,926/x
  3. Step 3: Cross multiply
    4,292,584x = 9,096,926 × 9,096,926
  4. Step 4: Simplify right side
    4,292,584x = 82,754,062,649,476
  5. Step 5: Solve for x
    x = 82,754,062,649,476/4,292,584
  6. Step 6: Final answer
    x = 19,278,379.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.