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Finding the Third Proportional to 19,802,751.75 and 31,510,062.75

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Solution

The third proportional to 19,802,751.75 and 31,510,062.75 is: 50,138,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802,751.75 : 31,510,062.75 = 31,510,062.75 : x
  2. Step 2: Convert to fraction form
    19,802,751.75/31,510,062.75 = 31,510,062.75/x
  3. Step 3: Cross multiply
    19,802,751.75x = 31,510,062.75 × 31,510,062.75
  4. Step 4: Simplify right side
    19,802,751.75x = 992,884,054,508,937.50
  5. Step 5: Solve for x
    x = 992,884,054,508,937.50/19,802,751.75
  6. Step 6: Final answer
    x = 50,138,691.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.