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Finding the Third Proportional to 49,301,757 and 76,643,840.25

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Solution

The third proportional to 49,301,757 and 76,643,840.25 is: 119,149,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,301,757 : 76,643,840.25 = 76,643,840.25 : x
  2. Step 2: Convert to fraction form
    49,301,757/76,643,840.25 = 76,643,840.25/x
  3. Step 3: Cross multiply
    49,301,757x = 76,643,840.25 × 76,643,840.25
  4. Step 4: Simplify right side
    49,301,757x = 5,874,278,248,267,520
  5. Step 5: Solve for x
    x = 5,874,278,248,267,520/49,301,757
  6. Step 6: Final answer
    x = 119,149,470.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.