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Finding the Third Proportional to 303,530,412 and 653,096,816

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Solution

The third proportional to 303,530,412 and 653,096,816 is: 1,405,247,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,530,412 : 653,096,816 = 653,096,816 : x
  2. Step 2: Convert to fraction form
    303,530,412/653,096,816 = 653,096,816/x
  3. Step 3: Cross multiply
    303,530,412x = 653,096,816 × 653,096,816
  4. Step 4: Simplify right side
    303,530,412x = 426,535,451,069,337,856
  5. Step 5: Solve for x
    x = 426,535,451,069,337,856/303,530,412
  6. Step 6: Final answer
    x = 1,405,247,824.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.