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Finding the Third Proportional to 129,858,568,000 and 279,260,403,942

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Solution

The third proportional to 129,858,568,000 and 279,260,403,942 is: 600,548,538,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,858,568,000 : 279,260,403,942 = 279,260,403,942 : x
  2. Step 2: Convert to fraction form
    129,858,568,000/279,260,403,942 = 279,260,403,942/x
  3. Step 3: Cross multiply
    129,858,568,000x = 279,260,403,942 × 279,260,403,942
  4. Step 4: Simplify right side
    129,858,568,000x = 77,986,373,209,849,006,653,440
  5. Step 5: Solve for x
    x = 77,986,373,209,849,006,653,440/129,858,568,000
  6. Step 6: Final answer
    x = 600,548,538,390.24

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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.