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Finding the Third Proportional to 11,728,688 and 16,516,268

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Solution

The third proportional to 11,728,688 and 16,516,268 is: 23,258,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728,688 : 16,516,268 = 16,516,268 : x
  2. Step 2: Convert to fraction form
    11,728,688/16,516,268 = 16,516,268/x
  3. Step 3: Cross multiply
    11,728,688x = 16,516,268 × 16,516,268
  4. Step 4: Simplify right side
    11,728,688x = 272,787,108,647,824
  5. Step 5: Solve for x
    x = 272,787,108,647,824/11,728,688
  6. Step 6: Final answer
    x = 23,258,109.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.