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Finding the Third Proportional to 5,322,600 and 8,338,675.50

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Solution

The third proportional to 5,322,600 and 8,338,675.50 is: 13,063,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322,600 : 8,338,675.50 = 8,338,675.50 : x
  2. Step 2: Convert to fraction form
    5,322,600/8,338,675.50 = 8,338,675.50/x
  3. Step 3: Cross multiply
    5,322,600x = 8,338,675.50 × 8,338,675.50
  4. Step 4: Simplify right side
    5,322,600x = 69,533,509,094,300.25
  5. Step 5: Solve for x
    x = 69,533,509,094,300.25/5,322,600
  6. Step 6: Final answer
    x = 13,063,823.90

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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.