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Finding the Third Proportional to 9,806,832 and 20,793,168

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Solution

The third proportional to 9,806,832 and 20,793,168 is: 44,087,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806,832 : 20,793,168 = 20,793,168 : x
  2. Step 2: Convert to fraction form
    9,806,832/20,793,168 = 20,793,168/x
  3. Step 3: Cross multiply
    9,806,832x = 20,793,168 × 20,793,168
  4. Step 4: Simplify right side
    9,806,832x = 432,355,835,476,224
  5. Step 5: Solve for x
    x = 432,355,835,476,224/9,806,832
  6. Step 6: Final answer
    x = 44,087,207.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.