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Finding the Third Proportional to 2,027,740,604,563.70 and 4,349,840,890,243.70

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Solution

The third proportional to 2,027,740,604,563.70 and 4,349,840,890,243.70 is: 9,331,132,260,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,740,604,563.70 : 4,349,840,890,243.70 = 4,349,840,890,243.70 : x
  2. Step 2: Convert to fraction form
    2,027,740,604,563.70/4,349,840,890,243.70 = 4,349,840,890,243.70/x
  3. Step 3: Cross multiply
    2,027,740,604,563.70x = 4,349,840,890,243.70 × 4,349,840,890,243.70
  4. Step 4: Simplify right side
    2,027,740,604,563.70x = 18,921,115,770,436,106,439,360,512
  5. Step 5: Solve for x
    x = 18,921,115,770,436,106,439,360,512/2,027,740,604,563.70
  6. Step 6: Final answer
    x = 9,331,132,260,138.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.