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Finding the Third Proportional to 903,327,187.50 and 1,380,954,184.59

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Solution

The third proportional to 903,327,187.50 and 1,380,954,184.59 is: 2,111,122,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,327,187.50 : 1,380,954,184.59 = 1,380,954,184.59 : x
  2. Step 2: Convert to fraction form
    903,327,187.50/1,380,954,184.59 = 1,380,954,184.59/x
  3. Step 3: Cross multiply
    903,327,187.50x = 1,380,954,184.59 × 1,380,954,184.59
  4. Step 4: Simplify right side
    903,327,187.50x = 1,907,034,459,947,127,296
  5. Step 5: Solve for x
    x = 1,907,034,459,947,127,296/903,327,187.50
  6. Step 6: Final answer
    x = 2,111,122,621.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.