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Finding the Third Proportional to 3,288,499,677 and 7,673,431,078.13

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Solution

The third proportional to 3,288,499,677 and 7,673,431,078.13 is: 17,905,291,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,499,677 : 7,673,431,078.13 = 7,673,431,078.13 : x
  2. Step 2: Convert to fraction form
    3,288,499,677/7,673,431,078.13 = 7,673,431,078.13/x
  3. Step 3: Cross multiply
    3,288,499,677x = 7,673,431,078.13 × 7,673,431,078.13
  4. Step 4: Simplify right side
    3,288,499,677x = 58,881,544,510,734,598,144
  5. Step 5: Solve for x
    x = 58,881,544,510,734,598,144/3,288,499,677
  6. Step 6: Final answer
    x = 17,905,291,255.63

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.