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Finding the Third Proportional to 6,306,480 and 9,739,197

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Solution

The third proportional to 6,306,480 and 9,739,197 is: 15,040,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,480 : 9,739,197 = 9,739,197 : x
  2. Step 2: Convert to fraction form
    6,306,480/9,739,197 = 9,739,197/x
  3. Step 3: Cross multiply
    6,306,480x = 9,739,197 × 9,739,197
  4. Step 4: Simplify right side
    6,306,480x = 94,851,958,204,809
  5. Step 5: Solve for x
    x = 94,851,958,204,809/6,306,480
  6. Step 6: Final answer
    x = 15,040,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.