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Finding the Third Proportional to 31,948,998.75 and 69,979,457.25

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Solution

The third proportional to 31,948,998.75 and 69,979,457.25 is: 153,279,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,948,998.75 : 69,979,457.25 = 69,979,457.25 : x
  2. Step 2: Convert to fraction form
    31,948,998.75/69,979,457.25 = 69,979,457.25/x
  3. Step 3: Cross multiply
    31,948,998.75x = 69,979,457.25 × 69,979,457.25
  4. Step 4: Simplify right side
    31,948,998.75x = 4,897,124,437,004,578
  5. Step 5: Solve for x
    x = 4,897,124,437,004,578/31,948,998.75
  6. Step 6: Final answer
    x = 153,279,433.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.