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Finding the Third Proportional to 36,377,758,908 and 79,613,258,460.75

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Solution

The third proportional to 36,377,758,908 and 79,613,258,460.75 is: 174,234,782,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,377,758,908 : 79,613,258,460.75 = 79,613,258,460.75 : x
  2. Step 2: Convert to fraction form
    36,377,758,908/79,613,258,460.75 = 79,613,258,460.75/x
  3. Step 3: Cross multiply
    36,377,758,908x = 79,613,258,460.75 × 79,613,258,460.75
  4. Step 4: Simplify right side
    36,377,758,908x = 6,338,270,922,738,181,865,472
  5. Step 5: Solve for x
    x = 6,338,270,922,738,181,865,472/36,377,758,908
  6. Step 6: Final answer
    x = 174,234,782,817.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.