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Finding the Third Proportional to 66,544,758,904.50 and 147,967,976,241

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Solution

The third proportional to 66,544,758,904.50 and 147,967,976,241 is: 329,019,480,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544,758,904.50 : 147,967,976,241 = 147,967,976,241 : x
  2. Step 2: Convert to fraction form
    66,544,758,904.50/147,967,976,241 = 147,967,976,241/x
  3. Step 3: Cross multiply
    66,544,758,904.50x = 147,967,976,241 × 147,967,976,241
  4. Step 4: Simplify right side
    66,544,758,904.50x = 21,894,521,992,857,140,592,640
  5. Step 5: Solve for x
    x = 21,894,521,992,857,140,592,640/66,544,758,904.50
  6. Step 6: Final answer
    x = 329,019,480,321.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.