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Finding the Third Proportional to 3,937,344 and 6,168,456

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Solution

The third proportional to 3,937,344 and 6,168,456 is: 9,663,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937,344 : 6,168,456 = 6,168,456 : x
  2. Step 2: Convert to fraction form
    3,937,344/6,168,456 = 6,168,456/x
  3. Step 3: Cross multiply
    3,937,344x = 6,168,456 × 6,168,456
  4. Step 4: Simplify right side
    3,937,344x = 38,049,849,423,936
  5. Step 5: Solve for x
    x = 38,049,849,423,936/3,937,344
  6. Step 6: Final answer
    x = 9,663,836.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.