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Finding the Third Proportional to 25,541,640 and 38,275,097.63

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Solution

The third proportional to 25,541,640 and 38,275,097.63 is: 57,356,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,541,640 : 38,275,097.63 = 38,275,097.63 : x
  2. Step 2: Convert to fraction form
    25,541,640/38,275,097.63 = 38,275,097.63/x
  3. Step 3: Cross multiply
    25,541,640x = 38,275,097.63 × 38,275,097.63
  4. Step 4: Simplify right side
    25,541,640x = 1,464,983,098,203,280.75
  5. Step 5: Solve for x
    x = 1,464,983,098,203,280.75/25,541,640
  6. Step 6: Final answer
    x = 57,356,657.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.