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Finding the Third Proportional to 31,580,847 and 47,604,557.25

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Solution

The third proportional to 31,580,847 and 47,604,557.25 is: 71,758,489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580,847 : 47,604,557.25 = 47,604,557.25 : x
  2. Step 2: Convert to fraction form
    31,580,847/47,604,557.25 = 47,604,557.25/x
  3. Step 3: Cross multiply
    31,580,847x = 47,604,557.25 × 47,604,557.25
  4. Step 4: Simplify right side
    31,580,847x = 2,266,193,870,968,527.50
  5. Step 5: Solve for x
    x = 2,266,193,870,968,527.50/31,580,847
  6. Step 6: Final answer
    x = 71,758,489.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.