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Finding the Third Proportional to 6,986,322 and 11,109,339

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Solution

The third proportional to 6,986,322 and 11,109,339 is: 17,665,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986,322 : 11,109,339 = 11,109,339 : x
  2. Step 2: Convert to fraction form
    6,986,322/11,109,339 = 11,109,339/x
  3. Step 3: Cross multiply
    6,986,322x = 11,109,339 × 11,109,339
  4. Step 4: Simplify right side
    6,986,322x = 123,417,413,016,921
  5. Step 5: Solve for x
    x = 123,417,413,016,921/6,986,322
  6. Step 6: Final answer
    x = 17,665,577.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.