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Finding the Third Proportional to 6,014,731 and 12,968,422

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Solution

The third proportional to 6,014,731 and 12,968,422 is: 27,961,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014,731 : 12,968,422 = 12,968,422 : x
  2. Step 2: Convert to fraction form
    6,014,731/12,968,422 = 12,968,422/x
  3. Step 3: Cross multiply
    6,014,731x = 12,968,422 × 12,968,422
  4. Step 4: Simplify right side
    6,014,731x = 168,179,969,170,084
  5. Step 5: Solve for x
    x = 168,179,969,170,084/6,014,731
  6. Step 6: Final answer
    x = 27,961,345.10

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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.