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Finding the Third Proportional to 3,240,826.50 and 6,984,085.50

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Solution

The third proportional to 3,240,826.50 and 6,984,085.50 is: 15,050,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240,826.50 : 6,984,085.50 = 6,984,085.50 : x
  2. Step 2: Convert to fraction form
    3,240,826.50/6,984,085.50 = 6,984,085.50/x
  3. Step 3: Cross multiply
    3,240,826.50x = 6,984,085.50 × 6,984,085.50
  4. Step 4: Simplify right side
    3,240,826.50x = 48,777,450,271,310.25
  5. Step 5: Solve for x
    x = 48,777,450,271,310.25/3,240,826.50
  6. Step 6: Final answer
    x = 15,050,929.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.