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Finding the Third Proportional to 6,839,415 and 10,673,199

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Solution

The third proportional to 6,839,415 and 10,673,199 is: 16,655,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839,415 : 10,673,199 = 10,673,199 : x
  2. Step 2: Convert to fraction form
    6,839,415/10,673,199 = 10,673,199/x
  3. Step 3: Cross multiply
    6,839,415x = 10,673,199 × 10,673,199
  4. Step 4: Simplify right side
    6,839,415x = 113,917,176,893,601
  5. Step 5: Solve for x
    x = 113,917,176,893,601/6,839,415
  6. Step 6: Final answer
    x = 16,655,982.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.