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Finding the Third Proportional to 776,838,252 and 1,664,481,792

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Solution

The third proportional to 776,838,252 and 1,664,481,792 is: 3,566,379,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,838,252 : 1,664,481,792 = 1,664,481,792 : x
  2. Step 2: Convert to fraction form
    776,838,252/1,664,481,792 = 1,664,481,792/x
  3. Step 3: Cross multiply
    776,838,252x = 1,664,481,792 × 1,664,481,792
  4. Step 4: Simplify right side
    776,838,252x = 2,770,499,635,899,531,264
  5. Step 5: Solve for x
    x = 2,770,499,635,899,531,264/776,838,252
  6. Step 6: Final answer
    x = 3,566,379,009.74

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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.