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Finding the Third Proportional to 3,822,625,399,954 and 8,190,496,111,832

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Solution

The third proportional to 3,822,625,399,954 and 8,190,496,111,832 is: 17,549,254,645,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822,625,399,954 : 8,190,496,111,832 = 8,190,496,111,832 : x
  2. Step 2: Convert to fraction form
    3,822,625,399,954/8,190,496,111,832 = 8,190,496,111,832/x
  3. Step 3: Cross multiply
    3,822,625,399,954x = 8,190,496,111,832 × 8,190,496,111,832
  4. Step 4: Simplify right side
    3,822,625,399,954x = 67,084,226,557,935,106,828,271,616
  5. Step 5: Solve for x
    x = 67,084,226,557,935,106,828,271,616/3,822,625,399,954
  6. Step 6: Final answer
    x = 17,549,254,645,444.04

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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.