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Finding the Third Proportional to 10,307,067 and 15,944,832

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Solution

The third proportional to 10,307,067 and 15,944,832 is: 24,666,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307,067 : 15,944,832 = 15,944,832 : x
  2. Step 2: Convert to fraction form
    10,307,067/15,944,832 = 15,944,832/x
  3. Step 3: Cross multiply
    10,307,067x = 15,944,832 × 15,944,832
  4. Step 4: Simplify right side
    10,307,067x = 254,237,667,508,224
  5. Step 5: Solve for x
    x = 254,237,667,508,224/10,307,067
  6. Step 6: Final answer
    x = 24,666,344.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.