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Finding the Third Proportional to 6,439,040 and 13,406,080

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Solution

The third proportional to 6,439,040 and 13,406,080 is: 27,911,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439,040 : 13,406,080 = 13,406,080 : x
  2. Step 2: Convert to fraction form
    6,439,040/13,406,080 = 13,406,080/x
  3. Step 3: Cross multiply
    6,439,040x = 13,406,080 × 13,406,080
  4. Step 4: Simplify right side
    6,439,040x = 179,722,980,966,400
  5. Step 5: Solve for x
    x = 179,722,980,966,400/6,439,040
  6. Step 6: Final answer
    x = 27,911,455.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.