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Finding the Third Proportional to 357,092,672,670 and 770,991,029,550

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Solution

The third proportional to 357,092,672,670 and 770,991,029,550 is: 1,664,629,977,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,092,672,670 : 770,991,029,550 = 770,991,029,550 : x
  2. Step 2: Convert to fraction form
    357,092,672,670/770,991,029,550 = 770,991,029,550/x
  3. Step 3: Cross multiply
    357,092,672,670x = 770,991,029,550 × 770,991,029,550
  4. Step 4: Simplify right side
    357,092,672,670x = 594,427,167,646,568,998,240,256
  5. Step 5: Solve for x
    x = 594,427,167,646,568,998,240,256/357,092,672,670
  6. Step 6: Final answer
    x = 1,664,629,977,428.57

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Why These Related Problems?

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