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Finding the Third Proportional to 31,275,536 and 65,139,723

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Solution

The third proportional to 31,275,536 and 65,139,723 is: 135,671,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,275,536 : 65,139,723 = 65,139,723 : x
  2. Step 2: Convert to fraction form
    31,275,536/65,139,723 = 65,139,723/x
  3. Step 3: Cross multiply
    31,275,536x = 65,139,723 × 65,139,723
  4. Step 4: Simplify right side
    31,275,536x = 4,243,183,512,516,729
  5. Step 5: Solve for x
    x = 4,243,183,512,516,729/31,275,536
  6. Step 6: Final answer
    x = 135,671,008.56

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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.