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Finding the Third Proportional to 37,129,506.75 and 80,648,655.75

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Solution

The third proportional to 37,129,506.75 and 80,648,655.75 is: 175,176,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,129,506.75 : 80,648,655.75 = 80,648,655.75 : x
  2. Step 2: Convert to fraction form
    37,129,506.75/80,648,655.75 = 80,648,655.75/x
  3. Step 3: Cross multiply
    37,129,506.75x = 80,648,655.75 × 80,648,655.75
  4. Step 4: Simplify right side
    37,129,506.75x = 6,504,205,674,282,008
  5. Step 5: Solve for x
    x = 6,504,205,674,282,008/37,129,506.75
  6. Step 6: Final answer
    x = 175,176,193.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.