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Finding the Third Proportional to 2,134,341,500 and 4,624,912,249

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Solution

The third proportional to 2,134,341,500 and 4,624,912,249 is: 10,021,738,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,341,500 : 4,624,912,249 = 4,624,912,249 : x
  2. Step 2: Convert to fraction form
    2,134,341,500/4,624,912,249 = 4,624,912,249/x
  3. Step 3: Cross multiply
    2,134,341,500x = 4,624,912,249 × 4,624,912,249
  4. Step 4: Simplify right side
    2,134,341,500x = 21,389,813,310,950,236,160
  5. Step 5: Solve for x
    x = 21,389,813,310,950,236,160/2,134,341,500
  6. Step 6: Final answer
    x = 10,021,738,934.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.