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Finding the Third Proportional to 393,970,803,671 and 798,904,307,884

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Solution

The third proportional to 393,970,803,671 and 798,904,307,884 is: 1,620,039,066,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,970,803,671 : 798,904,307,884 = 798,904,307,884 : x
  2. Step 2: Convert to fraction form
    393,970,803,671/798,904,307,884 = 798,904,307,884/x
  3. Step 3: Cross multiply
    393,970,803,671x = 798,904,307,884 × 798,904,307,884
  4. Step 4: Simplify right side
    393,970,803,671x = 638,248,093,155,613,112,008,704
  5. Step 5: Solve for x
    x = 638,248,093,155,613,112,008,704/393,970,803,671
  6. Step 6: Final answer
    x = 1,620,039,066,876.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.