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Finding the Third Proportional to 6,306,619.50 and 8,736,421.50

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Solution

The third proportional to 6,306,619.50 and 8,736,421.50 is: 12,102,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,619.50 : 8,736,421.50 = 8,736,421.50 : x
  2. Step 2: Convert to fraction form
    6,306,619.50/8,736,421.50 = 8,736,421.50/x
  3. Step 3: Cross multiply
    6,306,619.50x = 8,736,421.50 × 8,736,421.50
  4. Step 4: Simplify right side
    6,306,619.50x = 76,325,060,625,662.25
  5. Step 5: Solve for x
    x = 76,325,060,625,662.25/6,306,619.50
  6. Step 6: Final answer
    x = 12,102,372.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.