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Finding the Third Proportional to 56,867,398 and 122,796,355

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Solution

The third proportional to 56,867,398 and 122,796,355 is: 265,159,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,867,398 : 122,796,355 = 122,796,355 : x
  2. Step 2: Convert to fraction form
    56,867,398/122,796,355 = 122,796,355/x
  3. Step 3: Cross multiply
    56,867,398x = 122,796,355 × 122,796,355
  4. Step 4: Simplify right side
    56,867,398x = 15,078,944,801,286,024
  5. Step 5: Solve for x
    x = 15,078,944,801,286,024/56,867,398
  6. Step 6: Final answer
    x = 265,159,745.86

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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.