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Finding the Third Proportional to 3,766,898 and 8,175,953.50

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Solution

The third proportional to 3,766,898 and 8,175,953.50 is: 17,745,693.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766,898 : 8,175,953.50 = 8,175,953.50 : x
  2. Step 2: Convert to fraction form
    3,766,898/8,175,953.50 = 8,175,953.50/x
  3. Step 3: Cross multiply
    3,766,898x = 8,175,953.50 × 8,175,953.50
  4. Step 4: Simplify right side
    3,766,898x = 66,846,215,634,162.25
  5. Step 5: Solve for x
    x = 66,846,215,634,162.25/3,766,898
  6. Step 6: Final answer
    x = 17,745,693.04

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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.