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Finding the Third Proportional to 3,054,640.50 and 6,032,182.50

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Solution

The third proportional to 3,054,640.50 and 6,032,182.50 is: 11,912,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054,640.50 : 6,032,182.50 = 6,032,182.50 : x
  2. Step 2: Convert to fraction form
    3,054,640.50/6,032,182.50 = 6,032,182.50/x
  3. Step 3: Cross multiply
    3,054,640.50x = 6,032,182.50 × 6,032,182.50
  4. Step 4: Simplify right side
    3,054,640.50x = 36,387,225,713,306.25
  5. Step 5: Solve for x
    x = 36,387,225,713,306.25/3,054,640.50
  6. Step 6: Final answer
    x = 11,912,113.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.