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Finding the Third Proportional to 1,383,160,134 and 2,124,703,149

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Solution

The third proportional to 1,383,160,134 and 2,124,703,149 is: 3,263,803,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,160,134 : 2,124,703,149 = 2,124,703,149 : x
  2. Step 2: Convert to fraction form
    1,383,160,134/2,124,703,149 = 2,124,703,149/x
  3. Step 3: Cross multiply
    1,383,160,134x = 2,124,703,149 × 2,124,703,149
  4. Step 4: Simplify right side
    1,383,160,134x = 4,514,363,471,370,515,968
  5. Step 5: Solve for x
    x = 4,514,363,471,370,515,968/1,383,160,134
  6. Step 6: Final answer
    x = 3,263,803,922.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.