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Finding the Third Proportional to 2,853,309,472 and 4,018,088,496

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Solution

The third proportional to 2,853,309,472 and 4,018,088,496 is: 5,658,354,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,309,472 : 4,018,088,496 = 4,018,088,496 : x
  2. Step 2: Convert to fraction form
    2,853,309,472/4,018,088,496 = 4,018,088,496/x
  3. Step 3: Cross multiply
    2,853,309,472x = 4,018,088,496 × 4,018,088,496
  4. Step 4: Simplify right side
    2,853,309,472x = 16,145,035,161,687,541,760
  5. Step 5: Solve for x
    x = 16,145,035,161,687,541,760/2,853,309,472
  6. Step 6: Final answer
    x = 5,658,354,034.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.