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Finding the Third Proportional to 25,747,920 and 53,612,320

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Solution

The third proportional to 25,747,920 and 53,612,320 is: 111,631,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747,920 : 53,612,320 = 53,612,320 : x
  2. Step 2: Convert to fraction form
    25,747,920/53,612,320 = 53,612,320/x
  3. Step 3: Cross multiply
    25,747,920x = 53,612,320 × 53,612,320
  4. Step 4: Simplify right side
    25,747,920x = 2,874,280,855,782,400
  5. Step 5: Solve for x
    x = 2,874,280,855,782,400/25,747,920
  6. Step 6: Final answer
    x = 111,631,574.74

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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.