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Finding the Third Proportional to 222,374,691,018 and 313,152,567,324

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Solution

The third proportional to 222,374,691,018 and 313,152,567,324 is: 440,987,820,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,374,691,018 : 313,152,567,324 = 313,152,567,324 : x
  2. Step 2: Convert to fraction form
    222,374,691,018/313,152,567,324 = 313,152,567,324/x
  3. Step 3: Cross multiply
    222,374,691,018x = 313,152,567,324 × 313,152,567,324
  4. Step 4: Simplify right side
    222,374,691,018x = 98,064,530,421,612,357,353,472
  5. Step 5: Solve for x
    x = 98,064,530,421,612,357,353,472/222,374,691,018
  6. Step 6: Final answer
    x = 440,987,820,928.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.