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Finding the Third Proportional to 76,674,846 and 165,041,388

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Solution

The third proportional to 76,674,846 and 165,041,388 is: 355,248,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,674,846 : 165,041,388 = 165,041,388 : x
  2. Step 2: Convert to fraction form
    76,674,846/165,041,388 = 165,041,388/x
  3. Step 3: Cross multiply
    76,674,846x = 165,041,388 × 165,041,388
  4. Step 4: Simplify right side
    76,674,846x = 27,238,659,752,966,544
  5. Step 5: Solve for x
    x = 27,238,659,752,966,544/76,674,846
  6. Step 6: Final answer
    x = 355,248,965.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.