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Finding the Third Proportional to 956,522,380,664 and 2,108,014,486,020

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Solution

The third proportional to 956,522,380,664 and 2,108,014,486,020 is: 4,645,709,460,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,522,380,664 : 2,108,014,486,020 = 2,108,014,486,020 : x
  2. Step 2: Convert to fraction form
    956,522,380,664/2,108,014,486,020 = 2,108,014,486,020/x
  3. Step 3: Cross multiply
    956,522,380,664x = 2,108,014,486,020 × 2,108,014,486,020
  4. Step 4: Simplify right side
    956,522,380,664x = 4,443,725,073,270,165,024,538,624
  5. Step 5: Solve for x
    x = 4,443,725,073,270,165,024,538,624/956,522,380,664
  6. Step 6: Final answer
    x = 4,645,709,460,750.32

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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.