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Finding the Third Proportional to 10,421,901 and 22,964,097

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Solution

The third proportional to 10,421,901 and 22,964,097 is: 50,600,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,901 : 22,964,097 = 22,964,097 : x
  2. Step 2: Convert to fraction form
    10,421,901/22,964,097 = 22,964,097/x
  3. Step 3: Cross multiply
    10,421,901x = 22,964,097 × 22,964,097
  4. Step 4: Simplify right side
    10,421,901x = 527,349,751,025,409
  5. Step 5: Solve for x
    x = 527,349,751,025,409/10,421,901
  6. Step 6: Final answer
    x = 50,600,149.73

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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.