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Finding the Third Proportional to 382,531,305,480 and 837,123,123,792

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Solution

The third proportional to 382,531,305,480 and 837,123,123,792 is: 1,831,941,894,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,531,305,480 : 837,123,123,792 = 837,123,123,792 : x
  2. Step 2: Convert to fraction form
    382,531,305,480/837,123,123,792 = 837,123,123,792/x
  3. Step 3: Cross multiply
    382,531,305,480x = 837,123,123,792 × 837,123,123,792
  4. Step 4: Simplify right side
    382,531,305,480x = 700,775,124,387,276,171,247,616
  5. Step 5: Solve for x
    x = 700,775,124,387,276,171,247,616/382,531,305,480
  6. Step 6: Final answer
    x = 1,831,941,894,292.66

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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.