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Finding the Third Proportional to 6,766,456.50 and 14,654,844

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Solution

The third proportional to 6,766,456.50 and 14,654,844 is: 31,739,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,456.50 : 14,654,844 = 14,654,844 : x
  2. Step 2: Convert to fraction form
    6,766,456.50/14,654,844 = 14,654,844/x
  3. Step 3: Cross multiply
    6,766,456.50x = 14,654,844 × 14,654,844
  4. Step 4: Simplify right side
    6,766,456.50x = 214,764,452,664,336
  5. Step 5: Solve for x
    x = 214,764,452,664,336/6,766,456.50
  6. Step 6: Final answer
    x = 31,739,574.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.