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Finding the Third Proportional to 463,463,572.50 and 649,543,009.50

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Solution

The third proportional to 463,463,572.50 and 649,543,009.50 is: 910,332,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,463,572.50 : 649,543,009.50 = 649,543,009.50 : x
  2. Step 2: Convert to fraction form
    463,463,572.50/649,543,009.50 = 649,543,009.50/x
  3. Step 3: Cross multiply
    463,463,572.50x = 649,543,009.50 × 649,543,009.50
  4. Step 4: Simplify right side
    463,463,572.50x = 421,906,121,190,317,120
  5. Step 5: Solve for x
    x = 421,906,121,190,317,120/463,463,572.50
  6. Step 6: Final answer
    x = 910,332,863.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.