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Finding the Third Proportional to 25,305,821,208.19 and 54,420,081,482.63

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Solution

The third proportional to 25,305,821,208.19 and 54,420,081,482.63 is: 117,030,198,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,305,821,208.19 : 54,420,081,482.63 = 54,420,081,482.63 : x
  2. Step 2: Convert to fraction form
    25,305,821,208.19/54,420,081,482.63 = 54,420,081,482.63/x
  3. Step 3: Cross multiply
    25,305,821,208.19x = 54,420,081,482.63 × 54,420,081,482.63
  4. Step 4: Simplify right side
    25,305,821,208.19x = 2,961,545,268,575,544,541,184
  5. Step 5: Solve for x
    x = 2,961,545,268,575,544,541,184/25,305,821,208.19
  6. Step 6: Final answer
    x = 117,030,198,080.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.