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Finding the Third Proportional to 2,002,740,669 and 4,062,079,602

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Solution

The third proportional to 2,002,740,669 and 4,062,079,602 is: 8,238,955,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,740,669 : 4,062,079,602 = 4,062,079,602 : x
  2. Step 2: Convert to fraction form
    2,002,740,669/4,062,079,602 = 4,062,079,602/x
  3. Step 3: Cross multiply
    2,002,740,669x = 4,062,079,602 × 4,062,079,602
  4. Step 4: Simplify right side
    2,002,740,669x = 16,500,490,692,984,477,696
  5. Step 5: Solve for x
    x = 16,500,490,692,984,477,696/2,002,740,669
  6. Step 6: Final answer
    x = 8,238,955,221.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.