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Finding the Third Proportional to 917,043,012 and 1,937,593,224

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Solution

The third proportional to 917,043,012 and 1,937,593,224 is: 4,093,883,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,043,012 : 1,937,593,224 = 1,937,593,224 : x
  2. Step 2: Convert to fraction form
    917,043,012/1,937,593,224 = 1,937,593,224/x
  3. Step 3: Cross multiply
    917,043,012x = 1,937,593,224 × 1,937,593,224
  4. Step 4: Simplify right side
    917,043,012x = 3,754,267,501,690,714,112
  5. Step 5: Solve for x
    x = 3,754,267,501,690,714,112/917,043,012
  6. Step 6: Final answer
    x = 4,093,883,768.33

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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.