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Finding the Third Proportional to 12,439,993 and 25,873,127

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Solution

The third proportional to 12,439,993 and 25,873,127 is: 53,811,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,439,993 : 25,873,127 = 25,873,127 : x
  2. Step 2: Convert to fraction form
    12,439,993/25,873,127 = 25,873,127/x
  3. Step 3: Cross multiply
    12,439,993x = 25,873,127 × 25,873,127
  4. Step 4: Simplify right side
    12,439,993x = 669,418,700,758,129
  5. Step 5: Solve for x
    x = 669,418,700,758,129/12,439,993
  6. Step 6: Final answer
    x = 53,811,822.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.