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Finding the Third Proportional to 4,002,043,965 and 8,693,025,369

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Solution

The third proportional to 4,002,043,965 and 8,693,025,369 is: 18,882,523,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002,043,965 : 8,693,025,369 = 8,693,025,369 : x
  2. Step 2: Convert to fraction form
    4,002,043,965/8,693,025,369 = 8,693,025,369/x
  3. Step 3: Cross multiply
    4,002,043,965x = 8,693,025,369 × 8,693,025,369
  4. Step 4: Simplify right side
    4,002,043,965x = 75,568,690,066,077,581,312
  5. Step 5: Solve for x
    x = 75,568,690,066,077,581,312/4,002,043,965
  6. Step 6: Final answer
    x = 18,882,523,712.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.