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Finding the Third Proportional to 3,700,950.75 and 6,131,801.25

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Solution

The third proportional to 3,700,950.75 and 6,131,801.25 is: 10,159,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700,950.75 : 6,131,801.25 = 6,131,801.25 : x
  2. Step 2: Convert to fraction form
    3,700,950.75/6,131,801.25 = 6,131,801.25/x
  3. Step 3: Cross multiply
    3,700,950.75x = 6,131,801.25 × 6,131,801.25
  4. Step 4: Simplify right side
    3,700,950.75x = 37,598,986,569,501.56
  5. Step 5: Solve for x
    x = 37,598,986,569,501.56/3,700,950.75
  6. Step 6: Final answer
    x = 10,159,277.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.