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Finding the Third Proportional to 37,205,905.50 and 54,745,966.13

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Solution

The third proportional to 37,205,905.50 and 54,745,966.13 is: 80,554,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,205,905.50 : 54,745,966.13 = 54,745,966.13 : x
  2. Step 2: Convert to fraction form
    37,205,905.50/54,745,966.13 = 54,745,966.13/x
  3. Step 3: Cross multiply
    37,205,905.50x = 54,745,966.13 × 54,745,966.13
  4. Step 4: Simplify right side
    37,205,905.50x = 2,997,120,806,959,647.50
  5. Step 5: Solve for x
    x = 2,997,120,806,959,647.50/37,205,905.50
  6. Step 6: Final answer
    x = 80,554,975.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.