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Finding the Third Proportional to 33,632,950,311 and 47,302,494,301.13

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Solution

The third proportional to 33,632,950,311 and 47,302,494,301.13 is: 66,527,793,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632,950,311 : 47,302,494,301.13 = 47,302,494,301.13 : x
  2. Step 2: Convert to fraction form
    33,632,950,311/47,302,494,301.13 = 47,302,494,301.13/x
  3. Step 3: Cross multiply
    33,632,950,311x = 47,302,494,301.13 × 47,302,494,301.13
  4. Step 4: Simplify right side
    33,632,950,311x = 2,237,525,967,107,963,224,064
  5. Step 5: Solve for x
    x = 2,237,525,967,107,963,224,064/33,632,950,311
  6. Step 6: Final answer
    x = 66,527,793,322.26

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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.