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Finding the Third Proportional to 2,397,133.50 and 5,150,013

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Solution

The third proportional to 2,397,133.50 and 5,150,013 is: 11,064,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,133.50 : 5,150,013 = 5,150,013 : x
  2. Step 2: Convert to fraction form
    2,397,133.50/5,150,013 = 5,150,013/x
  3. Step 3: Cross multiply
    2,397,133.50x = 5,150,013 × 5,150,013
  4. Step 4: Simplify right side
    2,397,133.50x = 26,522,633,900,169
  5. Step 5: Solve for x
    x = 26,522,633,900,169/2,397,133.50
  6. Step 6: Final answer
    x = 11,064,312.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.