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Finding the Third Proportional to 6,894,953 and 11,109,606

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Solution

The third proportional to 6,894,953 and 11,109,606 is: 17,900,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894,953 : 11,109,606 = 11,109,606 : x
  2. Step 2: Convert to fraction form
    6,894,953/11,109,606 = 11,109,606/x
  3. Step 3: Cross multiply
    6,894,953x = 11,109,606 × 11,109,606
  4. Step 4: Simplify right side
    6,894,953x = 123,423,345,475,236
  5. Step 5: Solve for x
    x = 123,423,345,475,236/6,894,953
  6. Step 6: Final answer
    x = 17,900,534.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.