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Finding the Third Proportional to 9,641,181,201 and 20,891,255,742

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Solution

The third proportional to 9,641,181,201 and 20,891,255,742 is: 45,268,785,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641,181,201 : 20,891,255,742 = 20,891,255,742 : x
  2. Step 2: Convert to fraction form
    9,641,181,201/20,891,255,742 = 20,891,255,742/x
  3. Step 3: Cross multiply
    9,641,181,201x = 20,891,255,742 × 20,891,255,742
  4. Step 4: Simplify right side
    9,641,181,201x = 436,444,566,477,647,970,304
  5. Step 5: Solve for x
    x = 436,444,566,477,647,970,304/9,641,181,201
  6. Step 6: Final answer
    x = 45,268,785,782.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.