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Finding the Third Proportional to 420,400,012 and 982,244,124

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Solution

The third proportional to 420,400,012 and 982,244,124 is: 2,294,965,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,400,012 : 982,244,124 = 982,244,124 : x
  2. Step 2: Convert to fraction form
    420,400,012/982,244,124 = 982,244,124/x
  3. Step 3: Cross multiply
    420,400,012x = 982,244,124 × 982,244,124
  4. Step 4: Simplify right side
    420,400,012x = 964,803,519,132,527,360
  5. Step 5: Solve for x
    x = 964,803,519,132,527,360/420,400,012
  6. Step 6: Final answer
    x = 2,294,965,489.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.