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Finding the Third Proportional to 9,923,536 and 21,282,906

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Solution

The third proportional to 9,923,536 and 21,282,906 is: 45,645,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923,536 : 21,282,906 = 21,282,906 : x
  2. Step 2: Convert to fraction form
    9,923,536/21,282,906 = 21,282,906/x
  3. Step 3: Cross multiply
    9,923,536x = 21,282,906 × 21,282,906
  4. Step 4: Simplify right side
    9,923,536x = 452,962,087,804,836
  5. Step 5: Solve for x
    x = 452,962,087,804,836/9,923,536
  6. Step 6: Final answer
    x = 45,645,230.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.