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Finding the Third Proportional to 4,486,974 and 9,785,804

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Solution

The third proportional to 4,486,974 and 9,785,804 is: 21,342,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,974 : 9,785,804 = 9,785,804 : x
  2. Step 2: Convert to fraction form
    4,486,974/9,785,804 = 9,785,804/x
  3. Step 3: Cross multiply
    4,486,974x = 9,785,804 × 9,785,804
  4. Step 4: Simplify right side
    4,486,974x = 95,761,959,926,416
  5. Step 5: Solve for x
    x = 95,761,959,926,416/4,486,974
  6. Step 6: Final answer
    x = 21,342,214.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.