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Finding the Third Proportional to 6,785,901 and 14,791,122

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Solution

The third proportional to 6,785,901 and 14,791,122 is: 32,239,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785,901 : 14,791,122 = 14,791,122 : x
  2. Step 2: Convert to fraction form
    6,785,901/14,791,122 = 14,791,122/x
  3. Step 3: Cross multiply
    6,785,901x = 14,791,122 × 14,791,122
  4. Step 4: Simplify right side
    6,785,901x = 218,777,290,018,884
  5. Step 5: Solve for x
    x = 218,777,290,018,884/6,785,901
  6. Step 6: Final answer
    x = 32,239,976.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.