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Finding the Third Proportional to 5,322,059 and 8,337,496.50

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Solution

The third proportional to 5,322,059 and 8,337,496.50 is: 13,061,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322,059 : 8,337,496.50 = 8,337,496.50 : x
  2. Step 2: Convert to fraction form
    5,322,059/8,337,496.50 = 8,337,496.50/x
  3. Step 3: Cross multiply
    5,322,059x = 8,337,496.50 × 8,337,496.50
  4. Step 4: Simplify right side
    5,322,059x = 69,513,847,887,512.25
  5. Step 5: Solve for x
    x = 69,513,847,887,512.25/5,322,059
  6. Step 6: Final answer
    x = 13,061,457.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.