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Finding the Third Proportional to 3,471,041,049 and 5,287,772,406.38

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Solution

The third proportional to 3,471,041,049 and 5,287,772,406.38 is: 8,055,374,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,041,049 : 5,287,772,406.38 = 5,287,772,406.38 : x
  2. Step 2: Convert to fraction form
    3,471,041,049/5,287,772,406.38 = 5,287,772,406.38/x
  3. Step 3: Cross multiply
    3,471,041,049x = 5,287,772,406.38 × 5,287,772,406.38
  4. Step 4: Simplify right side
    3,471,041,049x = 27,960,537,021,620,858,880
  5. Step 5: Solve for x
    x = 27,960,537,021,620,858,880/3,471,041,049
  6. Step 6: Final answer
    x = 8,055,374,922.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.