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Finding the Third Proportional to 130,443,615 and 284,324,766

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Solution

The third proportional to 130,443,615 and 284,324,766 is: 619,735,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,443,615 : 284,324,766 = 284,324,766 : x
  2. Step 2: Convert to fraction form
    130,443,615/284,324,766 = 284,324,766/x
  3. Step 3: Cross multiply
    130,443,615x = 284,324,766 × 284,324,766
  4. Step 4: Simplify right side
    130,443,615x = 80,840,572,560,954,752
  5. Step 5: Solve for x
    x = 80,840,572,560,954,752/130,443,615
  6. Step 6: Final answer
    x = 619,735,757.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.