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Finding the Third Proportional to 4,650,595.50 and 6,980,529

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Solution

The third proportional to 4,650,595.50 and 6,980,529 is: 10,477,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650,595.50 : 6,980,529 = 6,980,529 : x
  2. Step 2: Convert to fraction form
    4,650,595.50/6,980,529 = 6,980,529/x
  3. Step 3: Cross multiply
    4,650,595.50x = 6,980,529 × 6,980,529
  4. Step 4: Simplify right side
    4,650,595.50x = 48,727,785,119,841
  5. Step 5: Solve for x
    x = 48,727,785,119,841/4,650,595.50
  6. Step 6: Final answer
    x = 10,477,751.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.