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Finding the Third Proportional to 3,008,238,832,728 and 6,607,454,288,238

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Solution

The third proportional to 3,008,238,832,728 and 6,607,454,288,238 is: 14,512,960,771,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008,238,832,728 : 6,607,454,288,238 = 6,607,454,288,238 : x
  2. Step 2: Convert to fraction form
    3,008,238,832,728/6,607,454,288,238 = 6,607,454,288,238/x
  3. Step 3: Cross multiply
    3,008,238,832,728x = 6,607,454,288,238 × 6,607,454,288,238
  4. Step 4: Simplify right side
    3,008,238,832,728x = 43,658,452,171,154,731,038,670,848
  5. Step 5: Solve for x
    x = 43,658,452,171,154,731,038,670,848/3,008,238,832,728
  6. Step 6: Final answer
    x = 14,512,960,771,656.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.