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Finding the Third Proportional to 316,237,892,708 and 481,766,554,860

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Solution

The third proportional to 316,237,892,708 and 481,766,554,860 is: 733,938,021,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,237,892,708 : 481,766,554,860 = 481,766,554,860 : x
  2. Step 2: Convert to fraction form
    316,237,892,708/481,766,554,860 = 481,766,554,860/x
  3. Step 3: Cross multiply
    316,237,892,708x = 481,766,554,860 × 481,766,554,860
  4. Step 4: Simplify right side
    316,237,892,708x = 232,099,013,381,673,396,994,048
  5. Step 5: Solve for x
    x = 232,099,013,381,673,396,994,048/316,237,892,708
  6. Step 6: Final answer
    x = 733,938,021,766.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.