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Finding the Third Proportional to 2,368,608.50 and 5,209,500.50

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Solution

The third proportional to 2,368,608.50 and 5,209,500.50 is: 11,457,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368,608.50 : 5,209,500.50 = 5,209,500.50 : x
  2. Step 2: Convert to fraction form
    2,368,608.50/5,209,500.50 = 5,209,500.50/x
  3. Step 3: Cross multiply
    2,368,608.50x = 5,209,500.50 × 5,209,500.50
  4. Step 4: Simplify right side
    2,368,608.50x = 27,138,895,459,500.25
  5. Step 5: Solve for x
    x = 27,138,895,459,500.25/2,368,608.50
  6. Step 6: Final answer
    x = 11,457,737.93

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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.