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Finding the Third Proportional to 917,043,013 and 1,937,593,226

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Solution

The third proportional to 917,043,013 and 1,937,593,226 is: 4,093,883,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,043,013 : 1,937,593,226 = 1,937,593,226 : x
  2. Step 2: Convert to fraction form
    917,043,013/1,937,593,226 = 1,937,593,226/x
  3. Step 3: Cross multiply
    917,043,013x = 1,937,593,226 × 1,937,593,226
  4. Step 4: Simplify right side
    917,043,013x = 3,754,267,509,441,086,976
  5. Step 5: Solve for x
    x = 3,754,267,509,441,086,976/917,043,013
  6. Step 6: Final answer
    x = 4,093,883,772.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.