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Finding the Third Proportional to 357,092,672,672 and 770,991,029,554

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Solution

The third proportional to 357,092,672,672 and 770,991,029,554 is: 1,664,629,977,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,092,672,672 : 770,991,029,554 = 770,991,029,554 : x
  2. Step 2: Convert to fraction form
    357,092,672,672/770,991,029,554 = 770,991,029,554/x
  3. Step 3: Cross multiply
    357,092,672,672x = 770,991,029,554 × 770,991,029,554
  4. Step 4: Simplify right side
    357,092,672,672x = 594,427,167,652,736,906,821,632
  5. Step 5: Solve for x
    x = 594,427,167,652,736,906,821,632/357,092,672,672
  6. Step 6: Final answer
    x = 1,664,629,977,436.52

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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.