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Finding the Third Proportional to 37,313,507.25 and 80,738,950.50

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Solution

The third proportional to 37,313,507.25 and 80,738,950.50 is: 174,702,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,313,507.25 : 80,738,950.50 = 80,738,950.50 : x
  2. Step 2: Convert to fraction form
    37,313,507.25/80,738,950.50 = 80,738,950.50/x
  3. Step 3: Cross multiply
    37,313,507.25x = 80,738,950.50 × 80,738,950.50
  4. Step 4: Simplify right side
    37,313,507.25x = 6,518,778,127,841,450
  5. Step 5: Solve for x
    x = 6,518,778,127,841,450/37,313,507.25
  6. Step 6: Final answer
    x = 174,702,905.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.