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Finding the Third Proportional to 14,455,754 and 19,822,749

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Solution

The third proportional to 14,455,754 and 19,822,749 is: 27,182,350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455,754 : 19,822,749 = 19,822,749 : x
  2. Step 2: Convert to fraction form
    14,455,754/19,822,749 = 19,822,749/x
  3. Step 3: Cross multiply
    14,455,754x = 19,822,749 × 19,822,749
  4. Step 4: Simplify right side
    14,455,754x = 392,941,377,917,001
  5. Step 5: Solve for x
    x = 392,941,377,917,001/14,455,754
  6. Step 6: Final answer
    x = 27,182,350.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.