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Finding the Third Proportional to 488,731,593,942 and 1,052,156,589,120

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Solution

The third proportional to 488,731,593,942 and 1,052,156,589,120 is: 2,265,115,457,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,731,593,942 : 1,052,156,589,120 = 1,052,156,589,120 : x
  2. Step 2: Convert to fraction form
    488,731,593,942/1,052,156,589,120 = 1,052,156,589,120/x
  3. Step 3: Cross multiply
    488,731,593,942x = 1,052,156,589,120 × 1,052,156,589,120
  4. Step 4: Simplify right side
    488,731,593,942x = 1,107,033,488,028,632,463,966,208
  5. Step 5: Solve for x
    x = 1,107,033,488,028,632,463,966,208/488,731,593,942
  6. Step 6: Final answer
    x = 2,265,115,457,545.00

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Why These Related Problems?

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