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Finding the Third Proportional to 14,461,761 and 19,192,899.75

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Solution

The third proportional to 14,461,761 and 19,192,899.75 is: 25,471,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461,761 : 19,192,899.75 = 19,192,899.75 : x
  2. Step 2: Convert to fraction form
    14,461,761/19,192,899.75 = 19,192,899.75/x
  3. Step 3: Cross multiply
    14,461,761x = 19,192,899.75 × 19,192,899.75
  4. Step 4: Simplify right side
    14,461,761x = 368,367,400,813,550.06
  5. Step 5: Solve for x
    x = 368,367,400,813,550.06/14,461,761
  6. Step 6: Final answer
    x = 25,471,821.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.