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Finding the Third Proportional to 122,722,623 and 264,571,653

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Solution

The third proportional to 122,722,623 and 264,571,653 is: 570,376,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,722,623 : 264,571,653 = 264,571,653 : x
  2. Step 2: Convert to fraction form
    122,722,623/264,571,653 = 264,571,653/x
  3. Step 3: Cross multiply
    122,722,623x = 264,571,653 × 264,571,653
  4. Step 4: Simplify right side
    122,722,623x = 69,998,159,571,152,408
  5. Step 5: Solve for x
    x = 69,998,159,571,152,408/122,722,623
  6. Step 6: Final answer
    x = 570,376,983.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.