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Finding the Third Proportional to 6,182,080 and 13,278,272

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Solution

The third proportional to 6,182,080 and 13,278,272 is: 28,519,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,080 : 13,278,272 = 13,278,272 : x
  2. Step 2: Convert to fraction form
    6,182,080/13,278,272 = 13,278,272/x
  3. Step 3: Cross multiply
    6,182,080x = 13,278,272 × 13,278,272
  4. Step 4: Simplify right side
    6,182,080x = 176,312,507,305,984
  5. Step 5: Solve for x
    x = 176,312,507,305,984/6,182,080
  6. Step 6: Final answer
    x = 28,519,932.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.