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Finding the Third Proportional to 6,393,774 and 13,697,268

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Solution

The third proportional to 6,393,774 and 13,697,268 is: 29,343,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,774 : 13,697,268 = 13,697,268 : x
  2. Step 2: Convert to fraction form
    6,393,774/13,697,268 = 13,697,268/x
  3. Step 3: Cross multiply
    6,393,774x = 13,697,268 × 13,697,268
  4. Step 4: Simplify right side
    6,393,774x = 187,615,150,663,824
  5. Step 5: Solve for x
    x = 187,615,150,663,824/6,393,774
  6. Step 6: Final answer
    x = 29,343,412.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.