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Finding the Third Proportional to 2,466,749.50 and 5,942,677

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Solution

The third proportional to 2,466,749.50 and 5,942,677 is: 14,316,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,749.50 : 5,942,677 = 5,942,677 : x
  2. Step 2: Convert to fraction form
    2,466,749.50/5,942,677 = 5,942,677/x
  3. Step 3: Cross multiply
    2,466,749.50x = 5,942,677 × 5,942,677
  4. Step 4: Simplify right side
    2,466,749.50x = 35,315,409,926,329
  5. Step 5: Solve for x
    x = 35,315,409,926,329/2,466,749.50
  6. Step 6: Final answer
    x = 14,316,577.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.