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Finding the Third Proportional to 3,931,213.50 and 6,168,048.75

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Solution

The third proportional to 3,931,213.50 and 6,168,048.75 is: 9,677,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931,213.50 : 6,168,048.75 = 6,168,048.75 : x
  2. Step 2: Convert to fraction form
    3,931,213.50/6,168,048.75 = 6,168,048.75/x
  3. Step 3: Cross multiply
    3,931,213.50x = 6,168,048.75 × 6,168,048.75
  4. Step 4: Simplify right side
    3,931,213.50x = 38,044,825,382,376.56
  5. Step 5: Solve for x
    x = 38,044,825,382,376.56/3,931,213.50
  6. Step 6: Final answer
    x = 9,677,628.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.