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Finding the Third Proportional to 6,976,161 and 10,845,597.38

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Solution

The third proportional to 6,976,161 and 10,845,597.38 is: 16,861,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976,161 : 10,845,597.38 = 10,845,597.38 : x
  2. Step 2: Convert to fraction form
    6,976,161/10,845,597.38 = 10,845,597.38/x
  3. Step 3: Cross multiply
    6,976,161x = 10,845,597.38 × 10,845,597.38
  4. Step 4: Simplify right side
    6,976,161x = 117,626,982,420,606.89
  5. Step 5: Solve for x
    x = 117,626,982,420,606.89/6,976,161
  6. Step 6: Final answer
    x = 16,861,276.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.