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Finding the Third Proportional to 10,611,945 and 22,738,050

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Solution

The third proportional to 10,611,945 and 22,738,050 is: 48,720,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611,945 : 22,738,050 = 22,738,050 : x
  2. Step 2: Convert to fraction form
    10,611,945/22,738,050 = 22,738,050/x
  3. Step 3: Cross multiply
    10,611,945x = 22,738,050 × 22,738,050
  4. Step 4: Simplify right side
    10,611,945x = 517,018,917,802,500
  5. Step 5: Solve for x
    x = 517,018,917,802,500/10,611,945
  6. Step 6: Final answer
    x = 48,720,467.15

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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.