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Finding the Third Proportional to 37,231,381,744 and 52,242,998,864

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Solution

The third proportional to 37,231,381,744 and 52,242,998,864 is: 73,307,269,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231,381,744 : 52,242,998,864 = 52,242,998,864 : x
  2. Step 2: Convert to fraction form
    37,231,381,744/52,242,998,864 = 52,242,998,864/x
  3. Step 3: Cross multiply
    37,231,381,744x = 52,242,998,864 × 52,242,998,864
  4. Step 4: Simplify right side
    37,231,381,744x = 2,729,330,930,303,905,038,336
  5. Step 5: Solve for x
    x = 2,729,330,930,303,905,038,336/37,231,381,744
  6. Step 6: Final answer
    x = 73,307,269,364.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.