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Finding the Third Proportional to 11,937,840 and 25,577,642

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Solution

The third proportional to 11,937,840 and 25,577,642 is: 54,801,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937,840 : 25,577,642 = 25,577,642 : x
  2. Step 2: Convert to fraction form
    11,937,840/25,577,642 = 25,577,642/x
  3. Step 3: Cross multiply
    11,937,840x = 25,577,642 × 25,577,642
  4. Step 4: Simplify right side
    11,937,840x = 654,215,770,280,164
  5. Step 5: Solve for x
    x = 654,215,770,280,164/11,937,840
  6. Step 6: Final answer
    x = 54,801,854.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.