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Finding the Third Proportional to 316,237,892,706.45 and 481,766,554,847.37

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Solution

The third proportional to 316,237,892,706.45 and 481,766,554,847.37 is: 733,938,021,731.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,237,892,706.45 : 481,766,554,847.37 = 481,766,554,847.37 : x
  2. Step 2: Convert to fraction form
    316,237,892,706.45/481,766,554,847.37 = 481,766,554,847.37/x
  3. Step 3: Cross multiply
    316,237,892,706.45x = 481,766,554,847.37 × 481,766,554,847.37
  4. Step 4: Simplify right side
    316,237,892,706.45x = 232,099,013,369,503,976,259,584
  5. Step 5: Solve for x
    x = 232,099,013,369,503,976,259,584/316,237,892,706.45
  6. Step 6: Final answer
    x = 733,938,021,731.48

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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.