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Finding the Third Proportional to 62,088,498 and 130,612,512

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Solution

The third proportional to 62,088,498 and 130,612,512 is: 274,763,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,088,498 : 130,612,512 = 130,612,512 : x
  2. Step 2: Convert to fraction form
    62,088,498/130,612,512 = 130,612,512/x
  3. Step 3: Cross multiply
    62,088,498x = 130,612,512 × 130,612,512
  4. Step 4: Simplify right side
    62,088,498x = 17,059,628,290,950,144
  5. Step 5: Solve for x
    x = 17,059,628,290,950,144/62,088,498
  6. Step 6: Final answer
    x = 274,763,101.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.