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Finding the Third Proportional to 33,296,066,550 and 77,693,505,237

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Solution

The third proportional to 33,296,066,550 and 77,693,505,237 is: 181,291,106,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,296,066,550 : 77,693,505,237 = 77,693,505,237 : x
  2. Step 2: Convert to fraction form
    33,296,066,550/77,693,505,237 = 77,693,505,237/x
  3. Step 3: Cross multiply
    33,296,066,550x = 77,693,505,237 × 77,693,505,237
  4. Step 4: Simplify right side
    33,296,066,550x = 6,036,280,756,011,746,197,504
  5. Step 5: Solve for x
    x = 6,036,280,756,011,746,197,504/33,296,066,550
  6. Step 6: Final answer
    x = 181,291,106,772.24

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.