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Finding the Third Proportional to 3,465,752 and 7,728,397

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Solution

The third proportional to 3,465,752 and 7,728,397 is: 17,233,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465,752 : 7,728,397 = 7,728,397 : x
  2. Step 2: Convert to fraction form
    3,465,752/7,728,397 = 7,728,397/x
  3. Step 3: Cross multiply
    3,465,752x = 7,728,397 × 7,728,397
  4. Step 4: Simplify right side
    3,465,752x = 59,728,120,189,609
  5. Step 5: Solve for x
    x = 59,728,120,189,609/3,465,752
  6. Step 6: Final answer
    x = 17,233,812.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.