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Finding the Third Proportional to 6,552,981 and 10,257,189

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Solution

The third proportional to 6,552,981 and 10,257,189 is: 16,055,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552,981 : 10,257,189 = 10,257,189 : x
  2. Step 2: Convert to fraction form
    6,552,981/10,257,189 = 10,257,189/x
  3. Step 3: Cross multiply
    6,552,981x = 10,257,189 × 10,257,189
  4. Step 4: Simplify right side
    6,552,981x = 105,209,926,181,721
  5. Step 5: Solve for x
    x = 105,209,926,181,721/6,552,981
  6. Step 6: Final answer
    x = 16,055,277.16

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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.