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Finding the Third Proportional to 2,551,014.84 and 3,867,012.14

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Solution

The third proportional to 2,551,014.84 and 3,867,012.14 is: 5,861,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551,014.84 : 3,867,012.14 = 3,867,012.14 : x
  2. Step 2: Convert to fraction form
    2,551,014.84/3,867,012.14 = 3,867,012.14/x
  3. Step 3: Cross multiply
    2,551,014.84x = 3,867,012.14 × 3,867,012.14
  4. Step 4: Simplify right side
    2,551,014.84x = 14,953,782,895,741.14
  5. Step 5: Solve for x
    x = 14,953,782,895,741.14/2,551,014.84
  6. Step 6: Final answer
    x = 5,861,895.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.