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Finding the Third Proportional to 2,299,929,104 and 5,002,829,586

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Solution

The third proportional to 2,299,929,104 and 5,002,829,586 is: 10,882,206,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,929,104 : 5,002,829,586 = 5,002,829,586 : x
  2. Step 2: Convert to fraction form
    2,299,929,104/5,002,829,586 = 5,002,829,586/x
  3. Step 3: Cross multiply
    2,299,929,104x = 5,002,829,586 × 5,002,829,586
  4. Step 4: Simplify right side
    2,299,929,104x = 25,028,303,866,556,932,096
  5. Step 5: Solve for x
    x = 25,028,303,866,556,932,096/2,299,929,104
  6. Step 6: Final answer
    x = 10,882,206,683.25

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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.