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Finding the Third Proportional to 903,327,277.50 and 1,380,954,314.25

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Solution

The third proportional to 903,327,277.50 and 1,380,954,314.25 is: 2,111,122,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,327,277.50 : 1,380,954,314.25 = 1,380,954,314.25 : x
  2. Step 2: Convert to fraction form
    903,327,277.50/1,380,954,314.25 = 1,380,954,314.25/x
  3. Step 3: Cross multiply
    903,327,277.50x = 1,380,954,314.25 × 1,380,954,314.25
  4. Step 4: Simplify right side
    903,327,277.50x = 1,907,034,818,045,687,808
  5. Step 5: Solve for x
    x = 1,907,034,818,045,687,808/903,327,277.50
  6. Step 6: Final answer
    x = 2,111,122,807.37

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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.