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Finding the Third Proportional to 33,248,049.75 and 72,758,432.25

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Solution

The third proportional to 33,248,049.75 and 72,758,432.25 is: 159,221,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,248,049.75 : 72,758,432.25 = 72,758,432.25 : x
  2. Step 2: Convert to fraction form
    33,248,049.75/72,758,432.25 = 72,758,432.25/x
  3. Step 3: Cross multiply
    33,248,049.75x = 72,758,432.25 × 72,758,432.25
  4. Step 4: Simplify right side
    33,248,049.75x = 5,293,789,463,477,840
  5. Step 5: Solve for x
    x = 5,293,789,463,477,840/33,248,049.75
  6. Step 6: Final answer
    x = 159,221,052.16

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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.