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Finding the Third Proportional to 892,151,496.75 and 1,932,577,478.25

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Solution

The third proportional to 892,151,496.75 and 1,932,577,478.25 is: 4,186,346,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,151,496.75 : 1,932,577,478.25 = 1,932,577,478.25 : x
  2. Step 2: Convert to fraction form
    892,151,496.75/1,932,577,478.25 = 1,932,577,478.25/x
  3. Step 3: Cross multiply
    892,151,496.75x = 1,932,577,478.25 × 1,932,577,478.25
  4. Step 4: Simplify right side
    892,151,496.75x = 3,734,855,709,439,129,088
  5. Step 5: Solve for x
    x = 3,734,855,709,439,129,088/892,151,496.75
  6. Step 6: Final answer
    x = 4,186,346,963.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.