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Finding the Third Proportional to 10,505,178 and 22,579,704

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Solution

The third proportional to 10,505,178 and 22,579,704 is: 48,532,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,178 : 22,579,704 = 22,579,704 : x
  2. Step 2: Convert to fraction form
    10,505,178/22,579,704 = 22,579,704/x
  3. Step 3: Cross multiply
    10,505,178x = 22,579,704 × 22,579,704
  4. Step 4: Simplify right side
    10,505,178x = 509,843,032,727,616
  5. Step 5: Solve for x
    x = 509,843,032,727,616/10,505,178
  6. Step 6: Final answer
    x = 48,532,545.83

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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.