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Finding the Third Proportional to 2,713,756.50 and 5,650,816.50

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Solution

The third proportional to 2,713,756.50 and 5,650,816.50 is: 11,766,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713,756.50 : 5,650,816.50 = 5,650,816.50 : x
  2. Step 2: Convert to fraction form
    2,713,756.50/5,650,816.50 = 5,650,816.50/x
  3. Step 3: Cross multiply
    2,713,756.50x = 5,650,816.50 × 5,650,816.50
  4. Step 4: Simplify right side
    2,713,756.50x = 31,931,727,116,672.25
  5. Step 5: Solve for x
    x = 31,931,727,116,672.25/2,713,756.50
  6. Step 6: Final answer
    x = 11,766,614.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.