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Finding the Third Proportional to 1,874,505,275 and 4,031,117,147

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Solution

The third proportional to 1,874,505,275 and 4,031,117,147 is: 8,668,903,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,505,275 : 4,031,117,147 = 4,031,117,147 : x
  2. Step 2: Convert to fraction form
    1,874,505,275/4,031,117,147 = 4,031,117,147/x
  3. Step 3: Cross multiply
    1,874,505,275x = 4,031,117,147 × 4,031,117,147
  4. Step 4: Simplify right side
    1,874,505,275x = 16,249,905,452,837,419,008
  5. Step 5: Solve for x
    x = 16,249,905,452,837,419,008/1,874,505,275
  6. Step 6: Final answer
    x = 8,668,903,560.61

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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.