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Finding the Third Proportional to 1,020,180,108 and 2,182,194,456

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Solution

The third proportional to 1,020,180,108 and 2,182,194,456 is: 4,667,776,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,180,108 : 2,182,194,456 = 2,182,194,456 : x
  2. Step 2: Convert to fraction form
    1,020,180,108/2,182,194,456 = 2,182,194,456/x
  3. Step 3: Cross multiply
    1,020,180,108x = 2,182,194,456 × 2,182,194,456
  4. Step 4: Simplify right side
    1,020,180,108x = 4,761,972,643,797,136,384
  5. Step 5: Solve for x
    x = 4,761,972,643,797,136,384/1,020,180,108
  6. Step 6: Final answer
    x = 4,667,776,411.69

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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.