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Finding the Third Proportional to 454,938,651 and 982,369,791

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Solution

The third proportional to 454,938,651 and 982,369,791 is: 2,121,275,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,938,651 : 982,369,791 = 982,369,791 : x
  2. Step 2: Convert to fraction form
    454,938,651/982,369,791 = 982,369,791/x
  3. Step 3: Cross multiply
    454,938,651x = 982,369,791 × 982,369,791
  4. Step 4: Simplify right side
    454,938,651x = 965,050,406,269,383,680
  5. Step 5: Solve for x
    x = 965,050,406,269,383,680/454,938,651
  6. Step 6: Final answer
    x = 2,121,275,921.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.