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Finding the Third Proportional to 10,898,682.75 and 23,362,164

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Solution

The third proportional to 10,898,682.75 and 23,362,164 is: 50,078,593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898,682.75 : 23,362,164 = 23,362,164 : x
  2. Step 2: Convert to fraction form
    10,898,682.75/23,362,164 = 23,362,164/x
  3. Step 3: Cross multiply
    10,898,682.75x = 23,362,164 × 23,362,164
  4. Step 4: Simplify right side
    10,898,682.75x = 545,790,706,762,896
  5. Step 5: Solve for x
    x = 545,790,706,762,896/10,898,682.75
  6. Step 6: Final answer
    x = 50,078,593.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.