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Finding the Third Proportional to 775,496,176 and 1,659,953,120

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Solution

The third proportional to 775,496,176 and 1,659,953,120 is: 3,553,137,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,496,176 : 1,659,953,120 = 1,659,953,120 : x
  2. Step 2: Convert to fraction form
    775,496,176/1,659,953,120 = 1,659,953,120/x
  3. Step 3: Cross multiply
    775,496,176x = 1,659,953,120 × 1,659,953,120
  4. Step 4: Simplify right side
    775,496,176x = 2,755,444,360,597,734,400
  5. Step 5: Solve for x
    x = 2,755,444,360,597,734,400/775,496,176
  6. Step 6: Final answer
    x = 3,553,137,263.44

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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.