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Finding the Third Proportional to 31,233,372,122 and 47,581,881,965

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Solution

The third proportional to 31,233,372,122 and 47,581,881,965 is: 72,487,705,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233,372,122 : 47,581,881,965 = 47,581,881,965 : x
  2. Step 2: Convert to fraction form
    31,233,372,122/47,581,881,965 = 47,581,881,965/x
  3. Step 3: Cross multiply
    31,233,372,122x = 47,581,881,965 × 47,581,881,965
  4. Step 4: Simplify right side
    31,233,372,122x = 2,264,035,491,331,192,389,632
  5. Step 5: Solve for x
    x = 2,264,035,491,331,192,389,632/31,233,372,122
  6. Step 6: Final answer
    x = 72,487,705,857.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.