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Finding the Third Proportional to 31,637,034 and 49,305,448

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Solution

The third proportional to 31,637,034 and 49,305,448 is: 76,841,185.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,637,034 : 49,305,448 = 49,305,448 : x
  2. Step 2: Convert to fraction form
    31,637,034/49,305,448 = 49,305,448/x
  3. Step 3: Cross multiply
    31,637,034x = 49,305,448 × 49,305,448
  4. Step 4: Simplify right side
    31,637,034x = 2,431,027,202,480,704
  5. Step 5: Solve for x
    x = 2,431,027,202,480,704/31,637,034
  6. Step 6: Final answer
    x = 76,841,185.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.