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Finding the Third Proportional to 3,723,670,645 and 8,101,109,218

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Solution

The third proportional to 3,723,670,645 and 8,101,109,218 is: 17,624,536,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,670,645 : 8,101,109,218 = 8,101,109,218 : x
  2. Step 2: Convert to fraction form
    3,723,670,645/8,101,109,218 = 8,101,109,218/x
  3. Step 3: Cross multiply
    3,723,670,645x = 8,101,109,218 × 8,101,109,218
  4. Step 4: Simplify right side
    3,723,670,645x = 65,627,970,561,964,572,672
  5. Step 5: Solve for x
    x = 65,627,970,561,964,572,672/3,723,670,645
  6. Step 6: Final answer
    x = 17,624,536,866.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.