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Finding the Third Proportional to 2,532,153,994 and 3,824,690,936

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Solution

The third proportional to 2,532,153,994 and 3,824,690,936 is: 5,777,002,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,153,994 : 3,824,690,936 = 3,824,690,936 : x
  2. Step 2: Convert to fraction form
    2,532,153,994/3,824,690,936 = 3,824,690,936/x
  3. Step 3: Cross multiply
    2,532,153,994x = 3,824,690,936 × 3,824,690,936
  4. Step 4: Simplify right side
    2,532,153,994x = 14,628,260,755,920,556,032
  5. Step 5: Solve for x
    x = 14,628,260,755,920,556,032/2,532,153,994
  6. Step 6: Final answer
    x = 5,777,002,816.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.