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Finding the Third Proportional to 4,857,890,635 and 7,463,612,057

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Solution

The third proportional to 4,857,890,635 and 7,463,612,057 is: 11,467,015,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857,890,635 : 7,463,612,057 = 7,463,612,057 : x
  2. Step 2: Convert to fraction form
    4,857,890,635/7,463,612,057 = 7,463,612,057/x
  3. Step 3: Cross multiply
    4,857,890,635x = 7,463,612,057 × 7,463,612,057
  4. Step 4: Simplify right side
    4,857,890,635x = 55,705,504,937,395,773,440
  5. Step 5: Solve for x
    x = 55,705,504,937,395,773,440/4,857,890,635
  6. Step 6: Final answer
    x = 11,467,015,032.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.