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Finding the Third Proportional to 288,336,156 and 629,067,802

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Solution

The third proportional to 288,336,156 and 629,067,802 is: 1,372,447,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,336,156 : 629,067,802 = 629,067,802 : x
  2. Step 2: Convert to fraction form
    288,336,156/629,067,802 = 629,067,802/x
  3. Step 3: Cross multiply
    288,336,156x = 629,067,802 × 629,067,802
  4. Step 4: Simplify right side
    288,336,156x = 395,726,299,513,111,232
  5. Step 5: Solve for x
    x = 395,726,299,513,111,232/288,336,156
  6. Step 6: Final answer
    x = 1,372,447,718.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.