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Finding the Third Proportional to 6,064,311 and 13,268,022

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Solution

The third proportional to 6,064,311 and 13,268,022 is: 29,028,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064,311 : 13,268,022 = 13,268,022 : x
  2. Step 2: Convert to fraction form
    6,064,311/13,268,022 = 13,268,022/x
  3. Step 3: Cross multiply
    6,064,311x = 13,268,022 × 13,268,022
  4. Step 4: Simplify right side
    6,064,311x = 176,040,407,792,484
  5. Step 5: Solve for x
    x = 176,040,407,792,484/6,064,311
  6. Step 6: Final answer
    x = 29,028,921.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.