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Finding the Third Proportional to 122,578,749,034 and 172,542,670,603

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Solution

The third proportional to 122,578,749,034 and 172,542,670,603 is: 242,872,222,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,578,749,034 : 172,542,670,603 = 172,542,670,603 : x
  2. Step 2: Convert to fraction form
    122,578,749,034/172,542,670,603 = 172,542,670,603/x
  3. Step 3: Cross multiply
    122,578,749,034x = 172,542,670,603 × 172,542,670,603
  4. Step 4: Simplify right side
    122,578,749,034x = 29,770,973,178,815,362,105,344
  5. Step 5: Solve for x
    x = 29,770,973,178,815,362,105,344/122,578,749,034
  6. Step 6: Final answer
    x = 242,872,222,252.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.