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Finding the Third Proportional to 2,023,347,962 and 3,035,021,736

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Solution

The third proportional to 2,023,347,962 and 3,035,021,736 is: 4,552,532,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,347,962 : 3,035,021,736 = 3,035,021,736 : x
  2. Step 2: Convert to fraction form
    2,023,347,962/3,035,021,736 = 3,035,021,736/x
  3. Step 3: Cross multiply
    2,023,347,962x = 3,035,021,736 × 3,035,021,736
  4. Step 4: Simplify right side
    2,023,347,962x = 9,211,356,937,992,454,144
  5. Step 5: Solve for x
    x = 9,211,356,937,992,454,144/2,023,347,962
  6. Step 6: Final answer
    x = 4,552,532,293.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.