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Finding the Third Proportional to 10,509,092 and 22,589,832

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Solution

The third proportional to 10,509,092 and 22,589,832 is: 48,558,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,092 : 22,589,832 = 22,589,832 : x
  2. Step 2: Convert to fraction form
    10,509,092/22,589,832 = 22,589,832/x
  3. Step 3: Cross multiply
    10,509,092x = 22,589,832 × 22,589,832
  4. Step 4: Simplify right side
    10,509,092x = 510,300,509,788,224
  5. Step 5: Solve for x
    x = 510,300,509,788,224/10,509,092
  6. Step 6: Final answer
    x = 48,558,001.95

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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.