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Finding the Third Proportional to 982,268,068,484 and 2,137,501,375,164

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Solution

The third proportional to 982,268,068,484 and 2,137,501,375,164 is: 4,651,390,262,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,268,068,484 : 2,137,501,375,164 = 2,137,501,375,164 : x
  2. Step 2: Convert to fraction form
    982,268,068,484/2,137,501,375,164 = 2,137,501,375,164/x
  3. Step 3: Cross multiply
    982,268,068,484x = 2,137,501,375,164 × 2,137,501,375,164
  4. Step 4: Simplify right side
    982,268,068,484x = 4,568,912,128,827,991,068,246,016
  5. Step 5: Solve for x
    x = 4,568,912,128,827,991,068,246,016/982,268,068,484
  6. Step 6: Final answer
    x = 4,651,390,262,415.33

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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.