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Finding the Third Proportional to 932,387,268,140 and 2,028,956,383,478

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Solution

The third proportional to 932,387,268,140 and 2,028,956,383,478 is: 4,415,186,850,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,387,268,140 : 2,028,956,383,478 = 2,028,956,383,478 : x
  2. Step 2: Convert to fraction form
    932,387,268,140/2,028,956,383,478 = 2,028,956,383,478/x
  3. Step 3: Cross multiply
    932,387,268,140x = 2,028,956,383,478 × 2,028,956,383,478
  4. Step 4: Simplify right side
    932,387,268,140x = 4,116,664,006,056,124,811,837,440
  5. Step 5: Solve for x
    x = 4,116,664,006,056,124,811,837,440/932,387,268,140
  6. Step 6: Final answer
    x = 4,415,186,850,704.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.