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Finding the Third Proportional to 272,994,568,766 and 593,505,301,402

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Solution

The third proportional to 272,994,568,766 and 593,505,301,402 is: 1,290,313,372,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,994,568,766 : 593,505,301,402 = 593,505,301,402 : x
  2. Step 2: Convert to fraction form
    272,994,568,766/593,505,301,402 = 593,505,301,402/x
  3. Step 3: Cross multiply
    272,994,568,766x = 593,505,301,402 × 593,505,301,402
  4. Step 4: Simplify right side
    272,994,568,766x = 352,248,542,792,278,840,705,024
  5. Step 5: Solve for x
    x = 352,248,542,792,278,840,705,024/272,994,568,766
  6. Step 6: Final answer
    x = 1,290,313,372,843.00

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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.