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Finding the Third Proportional to 667,007,307 and 1,448,837,514

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Solution

The third proportional to 667,007,307 and 1,448,837,514 is: 3,147,087,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,007,307 : 1,448,837,514 = 1,448,837,514 : x
  2. Step 2: Convert to fraction form
    667,007,307/1,448,837,514 = 1,448,837,514/x
  3. Step 3: Cross multiply
    667,007,307x = 1,448,837,514 × 1,448,837,514
  4. Step 4: Simplify right side
    667,007,307x = 2,099,130,141,973,700,096
  5. Step 5: Solve for x
    x = 2,099,130,141,973,700,096/667,007,307
  6. Step 6: Final answer
    x = 3,147,087,175.72

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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.