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Finding the Third Proportional to 2,560,399.88 and 5,486,002.17

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Solution

The third proportional to 2,560,399.88 and 5,486,002.17 is: 11,754,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,399.88 : 5,486,002.17 = 5,486,002.17 : x
  2. Step 2: Convert to fraction form
    2,560,399.88/5,486,002.17 = 5,486,002.17/x
  3. Step 3: Cross multiply
    2,560,399.88x = 5,486,002.17 × 5,486,002.17
  4. Step 4: Simplify right side
    2,560,399.88x = 30,096,219,829,817.22
  5. Step 5: Solve for x
    x = 30,096,219,829,817.22/2,560,399.88
  6. Step 6: Final answer
    x = 11,754,499.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.