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Finding the Third Proportional to 956,522,380,666 and 2,108,014,486,024

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Solution

The third proportional to 956,522,380,666 and 2,108,014,486,024 is: 4,645,709,460,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,522,380,666 : 2,108,014,486,024 = 2,108,014,486,024 : x
  2. Step 2: Convert to fraction form
    956,522,380,666/2,108,014,486,024 = 2,108,014,486,024/x
  3. Step 3: Cross multiply
    956,522,380,666x = 2,108,014,486,024 × 2,108,014,486,024
  4. Step 4: Simplify right side
    956,522,380,666x = 4,443,725,073,287,028,676,755,456
  5. Step 5: Solve for x
    x = 4,443,725,073,287,028,676,755,456/956,522,380,666
  6. Step 6: Final answer
    x = 4,645,709,460,758.24

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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.