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Finding the Third Proportional to 6,707,186 and 14,548,602

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Solution

The third proportional to 6,707,186 and 14,548,602 is: 31,557,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707,186 : 14,548,602 = 14,548,602 : x
  2. Step 2: Convert to fraction form
    6,707,186/14,548,602 = 14,548,602/x
  3. Step 3: Cross multiply
    6,707,186x = 14,548,602 × 14,548,602
  4. Step 4: Simplify right side
    6,707,186x = 211,661,820,154,404
  5. Step 5: Solve for x
    x = 211,661,820,154,404/6,707,186
  6. Step 6: Final answer
    x = 31,557,469.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.