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Finding the Third Proportional to 932,387,268,134 and 2,028,956,383,465

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Solution

The third proportional to 932,387,268,134 and 2,028,956,383,465 is: 4,415,186,850,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,387,268,134 : 2,028,956,383,465 = 2,028,956,383,465 : x
  2. Step 2: Convert to fraction form
    932,387,268,134/2,028,956,383,465 = 2,028,956,383,465/x
  3. Step 3: Cross multiply
    932,387,268,134x = 2,028,956,383,465 × 2,028,956,383,465
  4. Step 4: Simplify right side
    932,387,268,134x = 4,116,664,006,003,371,876,024,320
  5. Step 5: Solve for x
    x = 4,116,664,006,003,371,876,024,320/932,387,268,134
  6. Step 6: Final answer
    x = 4,415,186,850,676.45

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