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Finding the Third Proportional to 4,051,610.50 and 6,180,315

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Solution

The third proportional to 4,051,610.50 and 6,180,315 is: 9,427,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,610.50 : 6,180,315 = 6,180,315 : x
  2. Step 2: Convert to fraction form
    4,051,610.50/6,180,315 = 6,180,315/x
  3. Step 3: Cross multiply
    4,051,610.50x = 6,180,315 × 6,180,315
  4. Step 4: Simplify right side
    4,051,610.50x = 38,196,293,499,225
  5. Step 5: Solve for x
    x = 38,196,293,499,225/4,051,610.50
  6. Step 6: Final answer
    x = 9,427,434.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.