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Finding the Third Proportional to 73,783,413 and 110,268,468

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Solution

The third proportional to 73,783,413 and 110,268,468 is: 164,794,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,783,413 : 110,268,468 = 110,268,468 : x
  2. Step 2: Convert to fraction form
    73,783,413/110,268,468 = 110,268,468/x
  3. Step 3: Cross multiply
    73,783,413x = 110,268,468 × 110,268,468
  4. Step 4: Simplify right side
    73,783,413x = 12,159,135,035,067,024
  5. Step 5: Solve for x
    x = 12,159,135,035,067,024/73,783,413
  6. Step 6: Final answer
    x = 164,794,965.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.