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Finding the Third Proportional to 463,582,563 and 982,434,990

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Solution

The third proportional to 463,582,563 and 982,434,990 is: 2,081,999,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,582,563 : 982,434,990 = 982,434,990 : x
  2. Step 2: Convert to fraction form
    463,582,563/982,434,990 = 982,434,990/x
  3. Step 3: Cross multiply
    463,582,563x = 982,434,990 × 982,434,990
  4. Step 4: Simplify right side
    463,582,563x = 965,178,509,576,300,160
  5. Step 5: Solve for x
    x = 965,178,509,576,300,160/463,582,563
  6. Step 6: Final answer
    x = 2,081,999,166.08

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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.