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Finding the Third Proportional to 9,929,811,713 and 21,603,001,978

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Solution

The third proportional to 9,929,811,713 and 21,603,001,978 is: 46,998,846,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929,811,713 : 21,603,001,978 = 21,603,001,978 : x
  2. Step 2: Convert to fraction form
    9,929,811,713/21,603,001,978 = 21,603,001,978/x
  3. Step 3: Cross multiply
    9,929,811,713x = 21,603,001,978 × 21,603,001,978
  4. Step 4: Simplify right side
    9,929,811,713x = 466,689,694,461,471,883,264
  5. Step 5: Solve for x
    x = 466,689,694,461,471,883,264/9,929,811,713
  6. Step 6: Final answer
    x = 46,998,846,297.41

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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.