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Finding the Third Proportional to 29,239,951,469.63 and 64,085,393,223

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Solution

The third proportional to 29,239,951,469.63 and 64,085,393,223 is: 140,456,376,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,239,951,469.63 : 64,085,393,223 = 64,085,393,223 : x
  2. Step 2: Convert to fraction form
    29,239,951,469.63/64,085,393,223 = 64,085,393,223/x
  3. Step 3: Cross multiply
    29,239,951,469.63x = 64,085,393,223 × 64,085,393,223
  4. Step 4: Simplify right side
    29,239,951,469.63x = 4,106,937,624,546,534,490,112
  5. Step 5: Solve for x
    x = 4,106,937,624,546,534,490,112/29,239,951,469.63
  6. Step 6: Final answer
    x = 140,456,376,229.38

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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.