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Finding the Third Proportional to 37,084,071.75 and 54,553,950.75

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Solution

The third proportional to 37,084,071.75 and 54,553,950.75 is: 80,253,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,084,071.75 : 54,553,950.75 = 54,553,950.75 : x
  2. Step 2: Convert to fraction form
    37,084,071.75/54,553,950.75 = 54,553,950.75/x
  3. Step 3: Cross multiply
    37,084,071.75x = 54,553,950.75 × 54,553,950.75
  4. Step 4: Simplify right side
    37,084,071.75x = 2,976,133,542,433,425.50
  5. Step 5: Solve for x
    x = 2,976,133,542,433,425.50/37,084,071.75
  6. Step 6: Final answer
    x = 80,253,688.50

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Why These Related Problems?

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