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Finding the Third Proportional to 6,418,960 and 13,849,080

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Solution

The third proportional to 6,418,960 and 13,849,080 is: 29,879,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418,960 : 13,849,080 = 13,849,080 : x
  2. Step 2: Convert to fraction form
    6,418,960/13,849,080 = 13,849,080/x
  3. Step 3: Cross multiply
    6,418,960x = 13,849,080 × 13,849,080
  4. Step 4: Simplify right side
    6,418,960x = 191,797,016,846,400
  5. Step 5: Solve for x
    x = 191,797,016,846,400/6,418,960
  6. Step 6: Final answer
    x = 29,879,765.08

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