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Finding the Third Proportional to 3,086,140.50 and 6,783,142.50

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Solution

The third proportional to 3,086,140.50 and 6,783,142.50 is: 14,908,920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,140.50 : 6,783,142.50 = 6,783,142.50 : x
  2. Step 2: Convert to fraction form
    3,086,140.50/6,783,142.50 = 6,783,142.50/x
  3. Step 3: Cross multiply
    3,086,140.50x = 6,783,142.50 × 6,783,142.50
  4. Step 4: Simplify right side
    3,086,140.50x = 46,011,022,175,306.25
  5. Step 5: Solve for x
    x = 46,011,022,175,306.25/3,086,140.50
  6. Step 6: Final answer
    x = 14,908,920.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.