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Finding the Third Proportional to 265,722,436.41 and 579,797,255.81

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Solution

The third proportional to 265,722,436.41 and 579,797,255.81 is: 1,265,097,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,722,436.41 : 579,797,255.81 = 579,797,255.81 : x
  2. Step 2: Convert to fraction form
    265,722,436.41/579,797,255.81 = 579,797,255.81/x
  3. Step 3: Cross multiply
    265,722,436.41x = 579,797,255.81 × 579,797,255.81
  4. Step 4: Simplify right side
    265,722,436.41x = 336,164,857,847,705,536
  5. Step 5: Solve for x
    x = 336,164,857,847,705,536/265,722,436.41
  6. Step 6: Final answer
    x = 1,265,097,755.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.