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Finding the Third Proportional to 3,699,038 and 8,105,205.50

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Solution

The third proportional to 3,699,038 and 8,105,205.50 is: 17,759,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,038 : 8,105,205.50 = 8,105,205.50 : x
  2. Step 2: Convert to fraction form
    3,699,038/8,105,205.50 = 8,105,205.50/x
  3. Step 3: Cross multiply
    3,699,038x = 8,105,205.50 × 8,105,205.50
  4. Step 4: Simplify right side
    3,699,038x = 65,694,356,197,230.25
  5. Step 5: Solve for x
    x = 65,694,356,197,230.25/3,699,038
  6. Step 6: Final answer
    x = 17,759,848.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.