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Finding the Third Proportional to 33,627,739,950 and 74,109,884,284

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Solution

The third proportional to 33,627,739,950 and 74,109,884,284 is: 163,325,723,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,627,739,950 : 74,109,884,284 = 74,109,884,284 : x
  2. Step 2: Convert to fraction form
    33,627,739,950/74,109,884,284 = 74,109,884,284/x
  3. Step 3: Cross multiply
    33,627,739,950x = 74,109,884,284 × 74,109,884,284
  4. Step 4: Simplify right side
    33,627,739,950x = 5,492,274,948,587,870,224,384
  5. Step 5: Solve for x
    x = 5,492,274,948,587,870,224,384/33,627,739,950
  6. Step 6: Final answer
    x = 163,325,723,249.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.