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Finding the Third Proportional to 6,404,538 and 13,946,229

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Solution

The third proportional to 6,404,538 and 13,946,229 is: 30,368,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,538 : 13,946,229 = 13,946,229 : x
  2. Step 2: Convert to fraction form
    6,404,538/13,946,229 = 13,946,229/x
  3. Step 3: Cross multiply
    6,404,538x = 13,946,229 × 13,946,229
  4. Step 4: Simplify right side
    6,404,538x = 194,497,303,320,441
  5. Step 5: Solve for x
    x = 194,497,303,320,441/6,404,538
  6. Step 6: Final answer
    x = 30,368,670.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.