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Finding the Third Proportional to 1,529,736,992 and 3,381,028,912

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Solution

The third proportional to 1,529,736,992 and 3,381,028,912 is: 7,472,759,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,736,992 : 3,381,028,912 = 3,381,028,912 : x
  2. Step 2: Convert to fraction form
    1,529,736,992/3,381,028,912 = 3,381,028,912/x
  3. Step 3: Cross multiply
    1,529,736,992x = 3,381,028,912 × 3,381,028,912
  4. Step 4: Simplify right side
    1,529,736,992x = 11,431,356,503,779,903,488
  5. Step 5: Solve for x
    x = 11,431,356,503,779,903,488/1,529,736,992
  6. Step 6: Final answer
    x = 7,472,759,411.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.