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Finding the Third Proportional to 281,312,994,843 and 603,463,167,415

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Solution

The third proportional to 281,312,994,843 and 603,463,167,415 is: 1,294,528,873,896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,312,994,843 : 603,463,167,415 = 603,463,167,415 : x
  2. Step 2: Convert to fraction form
    281,312,994,843/603,463,167,415 = 603,463,167,415/x
  3. Step 3: Cross multiply
    281,312,994,843x = 603,463,167,415 × 603,463,167,415
  4. Step 4: Simplify right side
    281,312,994,843x = 364,167,794,426,544,318,840,832
  5. Step 5: Solve for x
    x = 364,167,794,426,544,318,840,832/281,312,994,843
  6. Step 6: Final answer
    x = 1,294,528,873,896.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.