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Finding the Third Proportional to 3,384,177 and 7,307,829

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Solution

The third proportional to 3,384,177 and 7,307,829 is: 15,780,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384,177 : 7,307,829 = 7,307,829 : x
  2. Step 2: Convert to fraction form
    3,384,177/7,307,829 = 7,307,829/x
  3. Step 3: Cross multiply
    3,384,177x = 7,307,829 × 7,307,829
  4. Step 4: Simplify right side
    3,384,177x = 53,404,364,693,241
  5. Step 5: Solve for x
    x = 53,404,364,693,241/3,384,177
  6. Step 6: Final answer
    x = 15,780,606.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.