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Finding the Third Proportional to 3,819,138 and 8,319,972

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Solution

The third proportional to 3,819,138 and 8,319,972 is: 18,125,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819,138 : 8,319,972 = 8,319,972 : x
  2. Step 2: Convert to fraction form
    3,819,138/8,319,972 = 8,319,972/x
  3. Step 3: Cross multiply
    3,819,138x = 8,319,972 × 8,319,972
  4. Step 4: Simplify right side
    3,819,138x = 69,221,934,080,784
  5. Step 5: Solve for x
    x = 69,221,934,080,784/3,819,138
  6. Step 6: Final answer
    x = 18,125,015.14

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Why These Related Problems?

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