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Finding the Third Proportional to 12,031,686 and 25,054,758

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Solution

The third proportional to 12,031,686 and 25,054,758 is: 52,173,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,686 : 25,054,758 = 25,054,758 : x
  2. Step 2: Convert to fraction form
    12,031,686/25,054,758 = 25,054,758/x
  3. Step 3: Cross multiply
    12,031,686x = 25,054,758 × 25,054,758
  4. Step 4: Simplify right side
    12,031,686x = 627,740,898,438,564
  5. Step 5: Solve for x
    x = 627,740,898,438,564/12,031,686
  6. Step 6: Final answer
    x = 52,173,976.15

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