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Finding the Third Proportional to 6,014,726 and 12,968,412

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Solution

The third proportional to 6,014,726 and 12,968,412 is: 27,961,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014,726 : 12,968,412 = 12,968,412 : x
  2. Step 2: Convert to fraction form
    6,014,726/12,968,412 = 12,968,412/x
  3. Step 3: Cross multiply
    6,014,726x = 12,968,412 × 12,968,412
  4. Step 4: Simplify right side
    6,014,726x = 168,179,709,801,744
  5. Step 5: Solve for x
    x = 168,179,709,801,744/6,014,726
  6. Step 6: Final answer
    x = 27,961,325.22

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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.