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Finding the Third Proportional to 27,225,118 and 42,176,176

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Solution

The third proportional to 27,225,118 and 42,176,176 is: 65,337,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225,118 : 42,176,176 = 42,176,176 : x
  2. Step 2: Convert to fraction form
    27,225,118/42,176,176 = 42,176,176/x
  3. Step 3: Cross multiply
    27,225,118x = 42,176,176 × 42,176,176
  4. Step 4: Simplify right side
    27,225,118x = 1,778,829,821,982,976
  5. Step 5: Solve for x
    x = 1,778,829,821,982,976/27,225,118
  6. Step 6: Final answer
    x = 65,337,818.63

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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.