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Finding the Third Proportional to 956,522,380,662 and 2,108,014,486,016

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Solution

The third proportional to 956,522,380,662 and 2,108,014,486,016 is: 4,645,709,460,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,522,380,662 : 2,108,014,486,016 = 2,108,014,486,016 : x
  2. Step 2: Convert to fraction form
    956,522,380,662/2,108,014,486,016 = 2,108,014,486,016/x
  3. Step 3: Cross multiply
    956,522,380,662x = 2,108,014,486,016 × 2,108,014,486,016
  4. Step 4: Simplify right side
    956,522,380,662x = 4,443,725,073,253,300,835,450,880
  5. Step 5: Solve for x
    x = 4,443,725,073,253,300,835,450,880/956,522,380,662
  6. Step 6: Final answer
    x = 4,645,709,460,742.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.