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Finding the Third Proportional to 122,721,384 and 262,463,460

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Solution

The third proportional to 122,721,384 and 262,463,460 is: 561,328,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,721,384 : 262,463,460 = 262,463,460 : x
  2. Step 2: Convert to fraction form
    122,721,384/262,463,460 = 262,463,460/x
  3. Step 3: Cross multiply
    122,721,384x = 262,463,460 × 262,463,460
  4. Step 4: Simplify right side
    122,721,384x = 68,887,067,835,171,600
  5. Step 5: Solve for x
    x = 68,887,067,835,171,600/122,721,384
  6. Step 6: Final answer
    x = 561,328,968.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.