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Finding the Third Proportional to 6,906,204 and 16,130,646

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Solution

The third proportional to 6,906,204 and 16,130,646 is: 37,675,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906,204 : 16,130,646 = 16,130,646 : x
  2. Step 2: Convert to fraction form
    6,906,204/16,130,646 = 16,130,646/x
  3. Step 3: Cross multiply
    6,906,204x = 16,130,646 × 16,130,646
  4. Step 4: Simplify right side
    6,906,204x = 260,197,740,377,316
  5. Step 5: Solve for x
    x = 260,197,740,377,316/6,906,204
  6. Step 6: Final answer
    x = 37,675,941.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.