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Finding the Third Proportional to 479,411,378,232 and 1,043,218,469,647.50

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Solution

The third proportional to 479,411,378,232 and 1,043,218,469,647.50 is: 2,270,085,410,628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,411,378,232 : 1,043,218,469,647.50 = 1,043,218,469,647.50 : x
  2. Step 2: Convert to fraction form
    479,411,378,232/1,043,218,469,647.50 = 1,043,218,469,647.50/x
  3. Step 3: Cross multiply
    479,411,378,232x = 1,043,218,469,647.50 × 1,043,218,469,647.50
  4. Step 4: Simplify right side
    479,411,378,232x = 1,088,304,775,413,671,860,895,744
  5. Step 5: Solve for x
    x = 1,088,304,775,413,671,860,895,744/479,411,378,232
  6. Step 6: Final answer
    x = 2,270,085,410,628.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.