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Finding the Third Proportional to 2,397,663 and 5,136,471

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Solution

The third proportional to 2,397,663 and 5,136,471 is: 11,003,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,663 : 5,136,471 = 5,136,471 : x
  2. Step 2: Convert to fraction form
    2,397,663/5,136,471 = 5,136,471/x
  3. Step 3: Cross multiply
    2,397,663x = 5,136,471 × 5,136,471
  4. Step 4: Simplify right side
    2,397,663x = 26,383,334,333,841
  5. Step 5: Solve for x
    x = 26,383,334,333,841/2,397,663
  6. Step 6: Final answer
    x = 11,003,770.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.