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Finding the Third Proportional to 381,460,472 and 823,903,252

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Solution

The third proportional to 381,460,472 and 823,903,252 is: 1,779,520,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460,472 : 823,903,252 = 823,903,252 : x
  2. Step 2: Convert to fraction form
    381,460,472/823,903,252 = 823,903,252/x
  3. Step 3: Cross multiply
    381,460,472x = 823,903,252 × 823,903,252
  4. Step 4: Simplify right side
    381,460,472x = 678,816,568,656,175,488
  5. Step 5: Solve for x
    x = 678,816,568,656,175,488/381,460,472
  6. Step 6: Final answer
    x = 1,779,520,077.39

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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.