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Finding the Third Proportional to 6,768,349 and 14,615,647

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Solution

The third proportional to 6,768,349 and 14,615,647 is: 31,561,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768,349 : 14,615,647 = 14,615,647 : x
  2. Step 2: Convert to fraction form
    6,768,349/14,615,647 = 14,615,647/x
  3. Step 3: Cross multiply
    6,768,349x = 14,615,647 × 14,615,647
  4. Step 4: Simplify right side
    6,768,349x = 213,617,137,228,609
  5. Step 5: Solve for x
    x = 213,617,137,228,609/6,768,349
  6. Step 6: Final answer
    x = 31,561,188.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.