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Finding the Third Proportional to 357,092,672,676 and 770,991,029,562

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Solution

The third proportional to 357,092,672,676 and 770,991,029,562 is: 1,664,629,977,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,092,672,676 : 770,991,029,562 = 770,991,029,562 : x
  2. Step 2: Convert to fraction form
    357,092,672,676/770,991,029,562 = 770,991,029,562/x
  3. Step 3: Cross multiply
    357,092,672,676x = 770,991,029,562 × 770,991,029,562
  4. Step 4: Simplify right side
    357,092,672,676x = 594,427,167,665,072,791,093,248
  5. Step 5: Solve for x
    x = 594,427,167,665,072,791,093,248/357,092,672,676
  6. Step 6: Final answer
    x = 1,664,629,977,452.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.