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Finding the Third Proportional to 603,217,665,546 and 899,595,465,177

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Solution

The third proportional to 603,217,665,546 and 899,595,465,177 is: 1,341,592,010,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,217,665,546 : 899,595,465,177 = 899,595,465,177 : x
  2. Step 2: Convert to fraction form
    603,217,665,546/899,595,465,177 = 899,595,465,177/x
  3. Step 3: Cross multiply
    603,217,665,546x = 899,595,465,177 × 899,595,465,177
  4. Step 4: Simplify right side
    603,217,665,546x = 809,272,000,967,022,995,308,544
  5. Step 5: Solve for x
    x = 809,272,000,967,022,995,308,544/603,217,665,546
  6. Step 6: Final answer
    x = 1,341,592,010,960.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.