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Finding the Third Proportional to 4,211,046,958 and 9,124,288,424

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Solution

The third proportional to 4,211,046,958 and 9,124,288,424 is: 19,770,057,203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,046,958 : 9,124,288,424 = 9,124,288,424 : x
  2. Step 2: Convert to fraction form
    4,211,046,958/9,124,288,424 = 9,124,288,424/x
  3. Step 3: Cross multiply
    4,211,046,958x = 9,124,288,424 × 9,124,288,424
  4. Step 4: Simplify right side
    4,211,046,958x = 83,252,639,244,340,396,032
  5. Step 5: Solve for x
    x = 83,252,639,244,340,396,032/4,211,046,958
  6. Step 6: Final answer
    x = 19,770,057,203.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.