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Finding the Third Proportional to 474,653,224.13 and 1,022,209,012.13

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Solution

The third proportional to 474,653,224.13 and 1,022,209,012.13 is: 2,201,420,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,653,224.13 : 1,022,209,012.13 = 1,022,209,012.13 : x
  2. Step 2: Convert to fraction form
    474,653,224.13/1,022,209,012.13 = 1,022,209,012.13/x
  3. Step 3: Cross multiply
    474,653,224.13x = 1,022,209,012.13 × 1,022,209,012.13
  4. Step 4: Simplify right side
    474,653,224.13x = 1,044,911,264,469,568,384
  5. Step 5: Solve for x
    x = 1,044,911,264,469,568,384/474,653,224.13
  6. Step 6: Final answer
    x = 2,201,420,345.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.