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Finding the Third Proportional to 6,014,727 and 12,968,414

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Solution

The third proportional to 6,014,727 and 12,968,414 is: 27,961,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014,727 : 12,968,414 = 12,968,414 : x
  2. Step 2: Convert to fraction form
    6,014,727/12,968,414 = 12,968,414/x
  3. Step 3: Cross multiply
    6,014,727x = 12,968,414 × 12,968,414
  4. Step 4: Simplify right side
    6,014,727x = 168,179,761,675,396
  5. Step 5: Solve for x
    x = 168,179,761,675,396/6,014,727
  6. Step 6: Final answer
    x = 27,961,329.20

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Why These Related Problems?

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