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Finding the Third Proportional to 37,283,260.50 and 81,020,103.75

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Solution

The third proportional to 37,283,260.50 and 81,020,103.75 is: 176,064,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,283,260.50 : 81,020,103.75 = 81,020,103.75 : x
  2. Step 2: Convert to fraction form
    37,283,260.50/81,020,103.75 = 81,020,103.75/x
  3. Step 3: Cross multiply
    37,283,260.50x = 81,020,103.75 × 81,020,103.75
  4. Step 4: Simplify right side
    37,283,260.50x = 6,564,257,211,660,764
  5. Step 5: Solve for x
    x = 6,564,257,211,660,764/37,283,260.50
  6. Step 6: Final answer
    x = 176,064,462.27

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