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Finding the Third Proportional to 889,614,125 and 1,852,861,083

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Solution

The third proportional to 889,614,125 and 1,852,861,083 is: 3,859,082,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,614,125 : 1,852,861,083 = 1,852,861,083 : x
  2. Step 2: Convert to fraction form
    889,614,125/1,852,861,083 = 1,852,861,083/x
  3. Step 3: Cross multiply
    889,614,125x = 1,852,861,083 × 1,852,861,083
  4. Step 4: Simplify right side
    889,614,125x = 3,433,094,192,895,932,928
  5. Step 5: Solve for x
    x = 3,433,094,192,895,932,928/889,614,125
  6. Step 6: Final answer
    x = 3,859,082,377.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.