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Finding the Third Proportional to 4,189,165 and 9,124,816

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Solution

The third proportional to 4,189,165 and 9,124,816 is: 19,875,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,165 : 9,124,816 = 9,124,816 : x
  2. Step 2: Convert to fraction form
    4,189,165/9,124,816 = 9,124,816/x
  3. Step 3: Cross multiply
    4,189,165x = 9,124,816 × 9,124,816
  4. Step 4: Simplify right side
    4,189,165x = 83,262,267,033,856
  5. Step 5: Solve for x
    x = 83,262,267,033,856/4,189,165
  6. Step 6: Final answer
    x = 19,875,623.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.