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Finding the Third Proportional to 10,276,856 and 22,588,176

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Solution

The third proportional to 10,276,856 and 22,588,176 is: 49,648,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276,856 : 22,588,176 = 22,588,176 : x
  2. Step 2: Convert to fraction form
    10,276,856/22,588,176 = 22,588,176/x
  3. Step 3: Cross multiply
    10,276,856x = 22,588,176 × 22,588,176
  4. Step 4: Simplify right side
    10,276,856x = 510,225,695,006,976
  5. Step 5: Solve for x
    x = 510,225,695,006,976/10,276,856
  6. Step 6: Final answer
    x = 49,648,033.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.