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Finding the Third Proportional to 9,299,734 and 19,705,766

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Solution

The third proportional to 9,299,734 and 19,705,766 is: 41,755,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299,734 : 19,705,766 = 19,705,766 : x
  2. Step 2: Convert to fraction form
    9,299,734/19,705,766 = 19,705,766/x
  3. Step 3: Cross multiply
    9,299,734x = 19,705,766 × 19,705,766
  4. Step 4: Simplify right side
    9,299,734x = 388,317,213,646,756
  5. Step 5: Solve for x
    x = 388,317,213,646,756/9,299,734
  6. Step 6: Final answer
    x = 41,755,733.41

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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.