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Finding the Third Proportional to 31,502,301.75 and 51,440,100.75

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Solution

The third proportional to 31,502,301.75 and 51,440,100.75 is: 83,996,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502,301.75 : 51,440,100.75 = 51,440,100.75 : x
  2. Step 2: Convert to fraction form
    31,502,301.75/51,440,100.75 = 51,440,100.75/x
  3. Step 3: Cross multiply
    31,502,301.75x = 51,440,100.75 × 51,440,100.75
  4. Step 4: Simplify right side
    31,502,301.75x = 2,646,083,965,170,150.50
  5. Step 5: Solve for x
    x = 2,646,083,965,170,150.50/31,502,301.75
  6. Step 6: Final answer
    x = 83,996,527.81

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.