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Finding the Third Proportional to 25,472,734 and 55,949,642

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Solution

The third proportional to 25,472,734 and 55,949,642 is: 122,890,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472,734 : 55,949,642 = 55,949,642 : x
  2. Step 2: Convert to fraction form
    25,472,734/55,949,642 = 55,949,642/x
  3. Step 3: Cross multiply
    25,472,734x = 55,949,642 × 55,949,642
  4. Step 4: Simplify right side
    25,472,734x = 3,130,362,439,928,164
  5. Step 5: Solve for x
    x = 3,130,362,439,928,164/25,472,734
  6. Step 6: Final answer
    x = 122,890,712.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.