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Finding the Third Proportional to 436,302,936 and 694,580,022

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Solution

The third proportional to 436,302,936 and 694,580,022 is: 1,105,748,706.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,302,936 : 694,580,022 = 694,580,022 : x
  2. Step 2: Convert to fraction form
    436,302,936/694,580,022 = 694,580,022/x
  3. Step 3: Cross multiply
    436,302,936x = 694,580,022 × 694,580,022
  4. Step 4: Simplify right side
    436,302,936x = 482,441,406,961,520,512
  5. Step 5: Solve for x
    x = 482,441,406,961,520,512/436,302,936
  6. Step 6: Final answer
    x = 1,105,748,706.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.