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Finding the Third Proportional to 303,530,457 and 653,096,898

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Solution

The third proportional to 303,530,457 and 653,096,898 is: 1,405,247,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,530,457 : 653,096,898 = 653,096,898 : x
  2. Step 2: Convert to fraction form
    303,530,457/653,096,898 = 653,096,898/x
  3. Step 3: Cross multiply
    303,530,457x = 653,096,898 × 653,096,898
  4. Step 4: Simplify right side
    303,530,457x = 426,535,558,177,222,400
  5. Step 5: Solve for x
    x = 426,535,558,177,222,400/303,530,457
  6. Step 6: Final answer
    x = 1,405,247,968.83

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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.