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Finding the Third Proportional to 22,093,579,689 and 48,464,590,201.50

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Solution

The third proportional to 22,093,579,689 and 48,464,590,201.50 is: 106,312,174,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093,579,689 : 48,464,590,201.50 = 48,464,590,201.50 : x
  2. Step 2: Convert to fraction form
    22,093,579,689/48,464,590,201.50 = 48,464,590,201.50/x
  3. Step 3: Cross multiply
    22,093,579,689x = 48,464,590,201.50 × 48,464,590,201.50
  4. Step 4: Simplify right side
    22,093,579,689x = 2,348,816,503,399,329,824,768
  5. Step 5: Solve for x
    x = 2,348,816,503,399,329,824,768/22,093,579,689
  6. Step 6: Final answer
    x = 106,312,174,688.87

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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.