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Finding the Third Proportional to 51,734,971.50 and 71,932,619.25

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Solution

The third proportional to 51,734,971.50 and 71,932,619.25 is: 100,015,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734,971.50 : 71,932,619.25 = 71,932,619.25 : x
  2. Step 2: Convert to fraction form
    51,734,971.50/71,932,619.25 = 71,932,619.25/x
  3. Step 3: Cross multiply
    51,734,971.50x = 71,932,619.25 × 71,932,619.25
  4. Step 4: Simplify right side
    51,734,971.50x = 5,174,301,712,165,471
  5. Step 5: Solve for x
    x = 5,174,301,712,165,471/51,734,971.50
  6. Step 6: Final answer
    x = 100,015,551.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.