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Finding the Third Proportional to 303,530,461 and 653,096,906

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Solution

The third proportional to 303,530,461 and 653,096,906 is: 1,405,247,984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,530,461 : 653,096,906 = 653,096,906 : x
  2. Step 2: Convert to fraction form
    303,530,461/653,096,906 = 653,096,906/x
  3. Step 3: Cross multiply
    303,530,461x = 653,096,906 × 653,096,906
  4. Step 4: Simplify right side
    303,530,461x = 426,535,568,626,772,864
  5. Step 5: Solve for x
    x = 426,535,568,626,772,864/303,530,461
  6. Step 6: Final answer
    x = 1,405,247,984.74

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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.