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Finding the Third Proportional to 353,879,027.34 and 775,782,502.69

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Solution

The third proportional to 353,879,027.34 and 775,782,502.69 is: 1,700,689,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,879,027.34 : 775,782,502.69 = 775,782,502.69 : x
  2. Step 2: Convert to fraction form
    353,879,027.34/775,782,502.69 = 775,782,502.69/x
  3. Step 3: Cross multiply
    353,879,027.34x = 775,782,502.69 × 775,782,502.69
  4. Step 4: Simplify right side
    353,879,027.34x = 601,838,491,476,080,896
  5. Step 5: Solve for x
    x = 601,838,491,476,080,896/353,879,027.34
  6. Step 6: Final answer
    x = 1,700,689,910.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.