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Finding the Third Proportional to 3,778,513,346 and 8,199,297,924

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Solution

The third proportional to 3,778,513,346 and 8,199,297,924 is: 17,792,311,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778,513,346 : 8,199,297,924 = 8,199,297,924 : x
  2. Step 2: Convert to fraction form
    3,778,513,346/8,199,297,924 = 8,199,297,924/x
  3. Step 3: Cross multiply
    3,778,513,346x = 8,199,297,924 × 8,199,297,924
  4. Step 4: Simplify right side
    3,778,513,346x = 67,228,486,446,510,710,784
  5. Step 5: Solve for x
    x = 67,228,486,446,510,710,784/3,778,513,346
  6. Step 6: Final answer
    x = 17,792,311,496.71

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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.