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Finding the Third Proportional to 269,928,758,697 and 580,480,867,440

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Solution

The third proportional to 269,928,758,697 and 580,480,867,440 is: 1,248,322,109,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,928,758,697 : 580,480,867,440 = 580,480,867,440 : x
  2. Step 2: Convert to fraction form
    269,928,758,697/580,480,867,440 = 580,480,867,440/x
  3. Step 3: Cross multiply
    269,928,758,697x = 580,480,867,440 × 580,480,867,440
  4. Step 4: Simplify right side
    269,928,758,697x = 336,958,037,463,894,872,555,520
  5. Step 5: Solve for x
    x = 336,958,037,463,894,872,555,520/269,928,758,697
  6. Step 6: Final answer
    x = 1,248,322,109,472.36

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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.