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Finding the Third Proportional to 6,521,041 and 14,301,793

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Solution

The third proportional to 6,521,041 and 14,301,793 is: 31,366,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521,041 : 14,301,793 = 14,301,793 : x
  2. Step 2: Convert to fraction form
    6,521,041/14,301,793 = 14,301,793/x
  3. Step 3: Cross multiply
    6,521,041x = 14,301,793 × 14,301,793
  4. Step 4: Simplify right side
    6,521,041x = 204,541,283,014,849
  5. Step 5: Solve for x
    x = 204,541,283,014,849/6,521,041
  6. Step 6: Final answer
    x = 31,366,354.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.