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Finding the Third Proportional to 2,368,339.50 and 5,209,071

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Solution

The third proportional to 2,368,339.50 and 5,209,071 is: 11,457,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368,339.50 : 5,209,071 = 5,209,071 : x
  2. Step 2: Convert to fraction form
    2,368,339.50/5,209,071 = 5,209,071/x
  3. Step 3: Cross multiply
    2,368,339.50x = 5,209,071 × 5,209,071
  4. Step 4: Simplify right side
    2,368,339.50x = 27,134,420,683,041
  5. Step 5: Solve for x
    x = 27,134,420,683,041/2,368,339.50
  6. Step 6: Final answer
    x = 11,457,149.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.