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Finding the Third Proportional to 484,238,007 and 679,481,885.25

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Solution

The third proportional to 484,238,007 and 679,481,885.25 is: 953,447,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,238,007 : 679,481,885.25 = 679,481,885.25 : x
  2. Step 2: Convert to fraction form
    484,238,007/679,481,885.25 = 679,481,885.25/x
  3. Step 3: Cross multiply
    484,238,007x = 679,481,885.25 × 679,481,885.25
  4. Step 4: Simplify right side
    484,238,007x = 461,695,632,382,894,144
  5. Step 5: Solve for x
    x = 461,695,632,382,894,144/484,238,007
  6. Step 6: Final answer
    x = 953,447,737.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.