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Finding the Third Proportional to 303,530,464 and 653,096,912

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Solution

The third proportional to 303,530,464 and 653,096,912 is: 1,405,247,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,530,464 : 653,096,912 = 653,096,912 : x
  2. Step 2: Convert to fraction form
    303,530,464/653,096,912 = 653,096,912/x
  3. Step 3: Cross multiply
    303,530,464x = 653,096,912 × 653,096,912
  4. Step 4: Simplify right side
    303,530,464x = 426,535,576,463,935,744
  5. Step 5: Solve for x
    x = 426,535,576,463,935,744/303,530,464
  6. Step 6: Final answer
    x = 1,405,247,996.67

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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.