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Finding the Third Proportional to 5,101,569,354 and 10,985,559,828

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Solution

The third proportional to 5,101,569,354 and 10,985,559,828 is: 23,655,960,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,569,354 : 10,985,559,828 = 10,985,559,828 : x
  2. Step 2: Convert to fraction form
    5,101,569,354/10,985,559,828 = 10,985,559,828/x
  3. Step 3: Cross multiply
    5,101,569,354x = 10,985,559,828 × 10,985,559,828
  4. Step 4: Simplify right side
    5,101,569,354x = 120,682,524,734,567,383,040
  5. Step 5: Solve for x
    x = 120,682,524,734,567,383,040/5,101,569,354
  6. Step 6: Final answer
    x = 23,655,960,815.26

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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.