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Finding the Third Proportional to 295,478,087,760 and 599,178,198,456

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Solution

The third proportional to 295,478,087,760 and 599,178,198,456 is: 1,215,029,230,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,478,087,760 : 599,178,198,456 = 599,178,198,456 : x
  2. Step 2: Convert to fraction form
    295,478,087,760/599,178,198,456 = 599,178,198,456/x
  3. Step 3: Cross multiply
    295,478,087,760x = 599,178,198,456 × 599,178,198,456
  4. Step 4: Simplify right side
    295,478,087,760x = 359,014,513,504,977,699,209,216
  5. Step 5: Solve for x
    x = 359,014,513,504,977,699,209,216/295,478,087,760
  6. Step 6: Final answer
    x = 1,215,029,230,176.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.