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Finding the Third Proportional to 484,238,013 and 679,481,894

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Solution

The third proportional to 484,238,013 and 679,481,894 is: 953,447,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,238,013 : 679,481,894 = 679,481,894 : x
  2. Step 2: Convert to fraction form
    484,238,013/679,481,894 = 679,481,894/x
  3. Step 3: Cross multiply
    484,238,013x = 679,481,894 × 679,481,894
  4. Step 4: Simplify right side
    484,238,013x = 461,695,644,273,827,264
  5. Step 5: Solve for x
    x = 461,695,644,273,827,264/484,238,013
  6. Step 6: Final answer
    x = 953,447,750.65

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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.