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Finding the Third Proportional to 3,354,993,355 and 5,003,395,911

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Solution

The third proportional to 3,354,993,355 and 5,003,395,911 is: 7,461,704,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354,993,355 : 5,003,395,911 = 5,003,395,911 : x
  2. Step 2: Convert to fraction form
    3,354,993,355/5,003,395,911 = 5,003,395,911/x
  3. Step 3: Cross multiply
    3,354,993,355x = 5,003,395,911 × 5,003,395,911
  4. Step 4: Simplify right side
    3,354,993,355x = 25,033,970,642,211,520,512
  5. Step 5: Solve for x
    x = 25,033,970,642,211,520,512/3,354,993,355
  6. Step 6: Final answer
    x = 7,461,704,985.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.