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Finding the Third Proportional to 24,240,738 and 52,327,320

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Solution

The third proportional to 24,240,738 and 52,327,320 is: 112,956,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,240,738 : 52,327,320 = 52,327,320 : x
  2. Step 2: Convert to fraction form
    24,240,738/52,327,320 = 52,327,320/x
  3. Step 3: Cross multiply
    24,240,738x = 52,327,320 × 52,327,320
  4. Step 4: Simplify right side
    24,240,738x = 2,738,148,418,382,400
  5. Step 5: Solve for x
    x = 2,738,148,418,382,400/24,240,738
  6. Step 6: Final answer
    x = 112,956,479.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.