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Finding the Third Proportional to 6,147,264 and 13,490,272

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Solution

The third proportional to 6,147,264 and 13,490,272 is: 29,604,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,264 : 13,490,272 = 13,490,272 : x
  2. Step 2: Convert to fraction form
    6,147,264/13,490,272 = 13,490,272/x
  3. Step 3: Cross multiply
    6,147,264x = 13,490,272 × 13,490,272
  4. Step 4: Simplify right side
    6,147,264x = 181,987,438,633,984
  5. Step 5: Solve for x
    x = 181,987,438,633,984/6,147,264
  6. Step 6: Final answer
    x = 29,604,623.88

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