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Finding the Third Proportional to 2,724,756 and 6,423,013.50

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Solution

The third proportional to 2,724,756 and 6,423,013.50 is: 15,140,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724,756 : 6,423,013.50 = 6,423,013.50 : x
  2. Step 2: Convert to fraction form
    2,724,756/6,423,013.50 = 6,423,013.50/x
  3. Step 3: Cross multiply
    2,724,756x = 6,423,013.50 × 6,423,013.50
  4. Step 4: Simplify right side
    2,724,756x = 41,255,102,421,182.25
  5. Step 5: Solve for x
    x = 41,255,102,421,182.25/2,724,756
  6. Step 6: Final answer
    x = 15,140,842.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.