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Finding the Third Proportional to 6,847,806 and 16,194,301

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Solution

The third proportional to 6,847,806 and 16,194,301 is: 38,297,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847,806 : 16,194,301 = 16,194,301 : x
  2. Step 2: Convert to fraction form
    6,847,806/16,194,301 = 16,194,301/x
  3. Step 3: Cross multiply
    6,847,806x = 16,194,301 × 16,194,301
  4. Step 4: Simplify right side
    6,847,806x = 262,255,384,878,601
  5. Step 5: Solve for x
    x = 262,255,384,878,601/6,847,806
  6. Step 6: Final answer
    x = 38,297,724.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.