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Finding the Third Proportional to 38,423,844 and 84,323,268

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Solution

The third proportional to 38,423,844 and 84,323,268 is: 185,052,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423,844 : 84,323,268 = 84,323,268 : x
  2. Step 2: Convert to fraction form
    38,423,844/84,323,268 = 84,323,268/x
  3. Step 3: Cross multiply
    38,423,844x = 84,323,268 × 84,323,268
  4. Step 4: Simplify right side
    38,423,844x = 7,110,413,526,199,824
  5. Step 5: Solve for x
    x = 7,110,413,526,199,824/38,423,844
  6. Step 6: Final answer
    x = 185,052,113.11

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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.