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Finding the Third Proportional to 22,093,579,690 and 48,464,590,203.50

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Solution

The third proportional to 22,093,579,690 and 48,464,590,203.50 is: 106,312,174,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093,579,690 : 48,464,590,203.50 = 48,464,590,203.50 : x
  2. Step 2: Convert to fraction form
    22,093,579,690/48,464,590,203.50 = 48,464,590,203.50/x
  3. Step 3: Cross multiply
    22,093,579,690x = 48,464,590,203.50 × 48,464,590,203.50
  4. Step 4: Simplify right side
    22,093,579,690x = 2,348,816,503,593,188,196,352
  5. Step 5: Solve for x
    x = 2,348,816,503,593,188,196,352/22,093,579,690
  6. Step 6: Final answer
    x = 106,312,174,692.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.