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Finding the Third Proportional to 9,806,834 and 20,793,172

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Solution

The third proportional to 9,806,834 and 20,793,172 is: 44,087,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806,834 : 20,793,172 = 20,793,172 : x
  2. Step 2: Convert to fraction form
    9,806,834/20,793,172 = 20,793,172/x
  3. Step 3: Cross multiply
    9,806,834x = 20,793,172 × 20,793,172
  4. Step 4: Simplify right side
    9,806,834x = 432,356,001,821,584
  5. Step 5: Solve for x
    x = 432,356,001,821,584/9,806,834
  6. Step 6: Final answer
    x = 44,087,215.28

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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.