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Finding the Third Proportional to 2,023,347,966 and 3,035,021,742

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Solution

The third proportional to 2,023,347,966 and 3,035,021,742 is: 4,552,532,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,347,966 : 3,035,021,742 = 3,035,021,742 : x
  2. Step 2: Convert to fraction form
    2,023,347,966/3,035,021,742 = 3,035,021,742/x
  3. Step 3: Cross multiply
    2,023,347,966x = 3,035,021,742 × 3,035,021,742
  4. Step 4: Simplify right side
    2,023,347,966x = 9,211,356,974,412,715,008
  5. Step 5: Solve for x
    x = 9,211,356,974,412,715,008/2,023,347,966
  6. Step 6: Final answer
    x = 4,552,532,302.50

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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.