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Finding the Third Proportional to 31,275,532.31 and 65,139,715.13

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Solution

The third proportional to 31,275,532.31 and 65,139,715.13 is: 135,670,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275,532.31 : 65,139,715.13 = 65,139,715.13 : x
  2. Step 2: Convert to fraction form
    31,275,532.31/65,139,715.13 = 65,139,715.13/x
  3. Step 3: Cross multiply
    31,275,532.31x = 65,139,715.13 × 65,139,715.13
  4. Step 4: Simplify right side
    31,275,532.31x = 4,243,182,486,566,154
  5. Step 5: Solve for x
    x = 4,243,182,486,566,154/31,275,532.31
  6. Step 6: Final answer
    x = 135,670,991.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.