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Finding the Third Proportional to 2,397,665.25 and 5,136,503.63

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Solution

The third proportional to 2,397,665.25 and 5,136,503.63 is: 11,003,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,665.25 : 5,136,503.63 = 5,136,503.63 : x
  2. Step 2: Convert to fraction form
    2,397,665.25/5,136,503.63 = 5,136,503.63/x
  3. Step 3: Cross multiply
    2,397,665.25x = 5,136,503.63 × 5,136,503.63
  4. Step 4: Simplify right side
    2,397,665.25x = 26,383,669,489,638.14
  5. Step 5: Solve for x
    x = 26,383,669,489,638.14/2,397,665.25
  6. Step 6: Final answer
    x = 11,003,900.35

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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.