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Finding the Third Proportional to 9,713,958 and 21,383,823

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Solution

The third proportional to 9,713,958 and 21,383,823 is: 47,073,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,958 : 21,383,823 = 21,383,823 : x
  2. Step 2: Convert to fraction form
    9,713,958/21,383,823 = 21,383,823/x
  3. Step 3: Cross multiply
    9,713,958x = 21,383,823 × 21,383,823
  4. Step 4: Simplify right side
    9,713,958x = 457,267,886,095,329
  5. Step 5: Solve for x
    x = 457,267,886,095,329/9,713,958
  6. Step 6: Final answer
    x = 47,073,282.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.