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Finding the Third Proportional to 463,582,570 and 982,435,005

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Solution

The third proportional to 463,582,570 and 982,435,005 is: 2,081,999,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,582,570 : 982,435,005 = 982,435,005 : x
  2. Step 2: Convert to fraction form
    463,582,570/982,435,005 = 982,435,005/x
  3. Step 3: Cross multiply
    463,582,570x = 982,435,005 × 982,435,005
  4. Step 4: Simplify right side
    463,582,570x = 965,178,539,049,350,016
  5. Step 5: Solve for x
    x = 965,178,539,049,350,016/463,582,570
  6. Step 6: Final answer
    x = 2,081,999,198.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.