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Finding the Third Proportional to 29,918,963.75 and 65,512,986.75

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Solution

The third proportional to 29,918,963.75 and 65,512,986.75 is: 143,452,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,918,963.75 : 65,512,986.75 = 65,512,986.75 : x
  2. Step 2: Convert to fraction form
    29,918,963.75/65,512,986.75 = 65,512,986.75/x
  3. Step 3: Cross multiply
    29,918,963.75x = 65,512,986.75 × 65,512,986.75
  4. Step 4: Simplify right side
    29,918,963.75x = 4,291,951,432,905,675.50
  5. Step 5: Solve for x
    x = 4,291,951,432,905,675.50/29,918,963.75
  6. Step 6: Final answer
    x = 143,452,542.97

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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.