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Finding the Third Proportional to 982,268,068,479 and 2,137,501,375,153.50

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Solution

The third proportional to 982,268,068,479 and 2,137,501,375,153.50 is: 4,651,390,262,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,268,068,479 : 2,137,501,375,153.50 = 2,137,501,375,153.50 : x
  2. Step 2: Convert to fraction form
    982,268,068,479/2,137,501,375,153.50 = 2,137,501,375,153.50/x
  3. Step 3: Cross multiply
    982,268,068,479x = 2,137,501,375,153.50 × 2,137,501,375,153.50
  4. Step 4: Simplify right side
    982,268,068,479x = 4,568,912,128,783,103,291,293,696
  5. Step 5: Solve for x
    x = 4,568,912,128,783,103,291,293,696/982,268,068,479
  6. Step 6: Final answer
    x = 4,651,390,262,393.31

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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.