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Finding the Third Proportional to 993,014,118 and 2,107,072,228

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Solution

The third proportional to 993,014,118 and 2,107,072,228 is: 4,470,987,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,014,118 : 2,107,072,228 = 2,107,072,228 : x
  2. Step 2: Convert to fraction form
    993,014,118/2,107,072,228 = 2,107,072,228/x
  3. Step 3: Cross multiply
    993,014,118x = 2,107,072,228 × 2,107,072,228
  4. Step 4: Simplify right side
    993,014,118x = 4,439,753,374,008,884,224
  5. Step 5: Solve for x
    x = 4,439,753,374,008,884,224/993,014,118
  6. Step 6: Final answer
    x = 4,470,987,162.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.