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Finding the Third Proportional to 3,177,937.50 and 6,771,633.75

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Solution

The third proportional to 3,177,937.50 and 6,771,633.75 is: 14,429,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,937.50 : 6,771,633.75 = 6,771,633.75 : x
  2. Step 2: Convert to fraction form
    3,177,937.50/6,771,633.75 = 6,771,633.75/x
  3. Step 3: Cross multiply
    3,177,937.50x = 6,771,633.75 × 6,771,633.75
  4. Step 4: Simplify right side
    3,177,937.50x = 45,855,023,644,139.06
  5. Step 5: Solve for x
    x = 45,855,023,644,139.06/3,177,937.50
  6. Step 6: Final answer
    x = 14,429,177.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.