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Finding the Third Proportional to 859,597,092,020 and 1,839,947,145,664

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Solution

The third proportional to 859,597,092,020 and 1,839,947,145,664 is: 3,938,363,135,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,597,092,020 : 1,839,947,145,664 = 1,839,947,145,664 : x
  2. Step 2: Convert to fraction form
    859,597,092,020/1,839,947,145,664 = 1,839,947,145,664/x
  3. Step 3: Cross multiply
    859,597,092,020x = 1,839,947,145,664 × 1,839,947,145,664
  4. Step 4: Simplify right side
    859,597,092,020x = 3,385,405,498,837,100,719,505,408
  5. Step 5: Solve for x
    x = 3,385,405,498,837,100,719,505,408/859,597,092,020
  6. Step 6: Final answer
    x = 3,938,363,135,782.15

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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.