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Finding the Third Proportional to 269,529,616.13 and 579,913,759.13

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Solution

The third proportional to 269,529,616.13 and 579,913,759.13 is: 1,247,729,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,529,616.13 : 579,913,759.13 = 579,913,759.13 : x
  2. Step 2: Convert to fraction form
    269,529,616.13/579,913,759.13 = 579,913,759.13/x
  3. Step 3: Cross multiply
    269,529,616.13x = 579,913,759.13 × 579,913,759.13
  4. Step 4: Simplify right side
    269,529,616.13x = 336,299,968,022,488,512
  5. Step 5: Solve for x
    x = 336,299,968,022,488,512/269,529,616.13
  6. Step 6: Final answer
    x = 1,247,729,184.12

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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.