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Finding the Third Proportional to 27,225,162 and 42,176,268

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Solution

The third proportional to 27,225,162 and 42,176,268 is: 65,337,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225,162 : 42,176,268 = 42,176,268 : x
  2. Step 2: Convert to fraction form
    27,225,162/42,176,268 = 42,176,268/x
  3. Step 3: Cross multiply
    27,225,162x = 42,176,268 × 42,176,268
  4. Step 4: Simplify right side
    27,225,162x = 1,778,837,582,407,824
  5. Step 5: Solve for x
    x = 1,778,837,582,407,824/27,225,162
  6. Step 6: Final answer
    x = 65,337,998.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.