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Finding the Third Proportional to 602,872,418.11 and 1,305,923,575.15

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Solution

The third proportional to 602,872,418.11 and 1,305,923,575.15 is: 2,828,851,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,872,418.11 : 1,305,923,575.15 = 1,305,923,575.15 : x
  2. Step 2: Convert to fraction form
    602,872,418.11/1,305,923,575.15 = 1,305,923,575.15/x
  3. Step 3: Cross multiply
    602,872,418.11x = 1,305,923,575.15 × 1,305,923,575.15
  4. Step 4: Simplify right side
    602,872,418.11x = 1,705,436,384,128,378,880
  5. Step 5: Solve for x
    x = 1,705,436,384,128,378,880/602,872,418.11
  6. Step 6: Final answer
    x = 2,828,851,234.36

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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.