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Finding the Third Proportional to 49,493,046 and 74,876,580

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Solution

The third proportional to 49,493,046 and 74,876,580 is: 113,278,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493,046 : 74,876,580 = 74,876,580 : x
  2. Step 2: Convert to fraction form
    49,493,046/74,876,580 = 74,876,580/x
  3. Step 3: Cross multiply
    49,493,046x = 74,876,580 × 74,876,580
  4. Step 4: Simplify right side
    49,493,046x = 5,606,502,232,496,400
  5. Step 5: Solve for x
    x = 5,606,502,232,496,400/49,493,046
  6. Step 6: Final answer
    x = 113,278,585.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.