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Finding the Third Proportional to 2,027,740,604,563.40 and 4,349,840,890,243.80

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Solution

The third proportional to 2,027,740,604,563.40 and 4,349,840,890,243.80 is: 9,331,132,260,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,740,604,563.40 : 4,349,840,890,243.80 = 4,349,840,890,243.80 : x
  2. Step 2: Convert to fraction form
    2,027,740,604,563.40/4,349,840,890,243.80 = 4,349,840,890,243.80/x
  3. Step 3: Cross multiply
    2,027,740,604,563.40x = 4,349,840,890,243.80 × 4,349,840,890,243.80
  4. Step 4: Simplify right side
    2,027,740,604,563.40x = 18,921,115,770,436,971,875,270,656
  5. Step 5: Solve for x
    x = 18,921,115,770,436,971,875,270,656/2,027,740,604,563.40
  6. Step 6: Final answer
    x = 9,331,132,260,139.82

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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.