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Finding the Third Proportional to 303,989,848 and 616,438,568

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Solution

The third proportional to 303,989,848 and 616,438,568 is: 1,250,030,257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,989,848 : 616,438,568 = 616,438,568 : x
  2. Step 2: Convert to fraction form
    303,989,848/616,438,568 = 616,438,568/x
  3. Step 3: Cross multiply
    303,989,848x = 616,438,568 × 616,438,568
  4. Step 4: Simplify right side
    303,989,848x = 379,996,508,117,890,624
  5. Step 5: Solve for x
    x = 379,996,508,117,890,624/303,989,848
  6. Step 6: Final answer
    x = 1,250,030,257.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.