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Finding the Third Proportional to 295,619,310 and 697,837,149

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Solution

The third proportional to 295,619,310 and 697,837,149 is: 1,647,310,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,619,310 : 697,837,149 = 697,837,149 : x
  2. Step 2: Convert to fraction form
    295,619,310/697,837,149 = 697,837,149/x
  3. Step 3: Cross multiply
    295,619,310x = 697,837,149 × 697,837,149
  4. Step 4: Simplify right side
    295,619,310x = 486,976,686,524,448,192
  5. Step 5: Solve for x
    x = 486,976,686,524,448,192/295,619,310
  6. Step 6: Final answer
    x = 1,647,310,138.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.