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Finding the Third Proportional to 37,452,760.50 and 82,065,205.50

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Solution

The third proportional to 37,452,760.50 and 82,065,205.50 is: 179,818,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452,760.50 : 82,065,205.50 = 82,065,205.50 : x
  2. Step 2: Convert to fraction form
    37,452,760.50/82,065,205.50 = 82,065,205.50/x
  3. Step 3: Cross multiply
    37,452,760.50x = 82,065,205.50 × 82,065,205.50
  4. Step 4: Simplify right side
    37,452,760.50x = 6,734,697,953,757,230
  5. Step 5: Solve for x
    x = 6,734,697,953,757,230/37,452,760.50
  6. Step 6: Final answer
    x = 179,818,466.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.