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Finding the Third Proportional to 659,220,836,300 and 1,413,824,350,612

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Solution

The third proportional to 659,220,836,300 and 1,413,824,350,612 is: 3,032,214,979,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,220,836,300 : 1,413,824,350,612 = 1,413,824,350,612 : x
  2. Step 2: Convert to fraction form
    659,220,836,300/1,413,824,350,612 = 1,413,824,350,612/x
  3. Step 3: Cross multiply
    659,220,836,300x = 1,413,824,350,612 × 1,413,824,350,612
  4. Step 4: Simplify right side
    659,220,836,300x = 1,998,899,294,383,443,592,347,648
  5. Step 5: Solve for x
    x = 1,998,899,294,383,443,592,347,648/659,220,836,300
  6. Step 6: Final answer
    x = 3,032,214,979,129.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.