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Finding the Third Proportional to 7,921,164 and 16,979,176

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Solution

The third proportional to 7,921,164 and 16,979,176 is: 36,395,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921,164 : 16,979,176 = 16,979,176 : x
  2. Step 2: Convert to fraction form
    7,921,164/16,979,176 = 16,979,176/x
  3. Step 3: Cross multiply
    7,921,164x = 16,979,176 × 16,979,176
  4. Step 4: Simplify right side
    7,921,164x = 288,292,417,638,976
  5. Step 5: Solve for x
    x = 288,292,417,638,976/7,921,164
  6. Step 6: Final answer
    x = 36,395,208.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.