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Finding the Third Proportional to 2,665,425 and 5,756,397

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Solution

The third proportional to 2,665,425 and 5,756,397 is: 12,431,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,425 : 5,756,397 = 5,756,397 : x
  2. Step 2: Convert to fraction form
    2,665,425/5,756,397 = 5,756,397/x
  3. Step 3: Cross multiply
    2,665,425x = 5,756,397 × 5,756,397
  4. Step 4: Simplify right side
    2,665,425x = 33,136,106,421,609
  5. Step 5: Solve for x
    x = 33,136,106,421,609/2,665,425
  6. Step 6: Final answer
    x = 12,431,828.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.