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Finding the Third Proportional to 9,354,660 and 13,993,842

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Solution

The third proportional to 9,354,660 and 13,993,842 is: 20,933,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354,660 : 13,993,842 = 13,993,842 : x
  2. Step 2: Convert to fraction form
    9,354,660/13,993,842 = 13,993,842/x
  3. Step 3: Cross multiply
    9,354,660x = 13,993,842 × 13,993,842
  4. Step 4: Simplify right side
    9,354,660x = 195,827,613,920,964
  5. Step 5: Solve for x
    x = 195,827,613,920,964/9,354,660
  6. Step 6: Final answer
    x = 20,933,696.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.