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Finding the Third Proportional to 2,397,146 and 5,150,038

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Solution

The third proportional to 2,397,146 and 5,150,038 is: 11,064,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,146 : 5,150,038 = 5,150,038 : x
  2. Step 2: Convert to fraction form
    2,397,146/5,150,038 = 5,150,038/x
  3. Step 3: Cross multiply
    2,397,146x = 5,150,038 × 5,150,038
  4. Step 4: Simplify right side
    2,397,146x = 26,522,891,401,444
  5. Step 5: Solve for x
    x = 26,522,891,401,444/2,397,146
  6. Step 6: Final answer
    x = 11,064,362.12

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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.