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Finding the Third Proportional to 5,093,967.23 and 7,620,780.90

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Solution

The third proportional to 5,093,967.23 and 7,620,780.90 is: 11,400,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093,967.23 : 7,620,780.90 = 7,620,780.90 : x
  2. Step 2: Convert to fraction form
    5,093,967.23/7,620,780.90 = 7,620,780.90/x
  3. Step 3: Cross multiply
    5,093,967.23x = 7,620,780.90 × 7,620,780.90
  4. Step 4: Simplify right side
    5,093,967.23x = 58,076,301,561,531.02
  5. Step 5: Solve for x
    x = 58,076,301,561,531.02/5,093,967.23
  6. Step 6: Final answer
    x = 11,400,996.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.