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Finding the Third Proportional to 10,421,902 and 22,964,099

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Solution

The third proportional to 10,421,902 and 22,964,099 is: 50,600,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,902 : 22,964,099 = 22,964,099 : x
  2. Step 2: Convert to fraction form
    10,421,902/22,964,099 = 22,964,099/x
  3. Step 3: Cross multiply
    10,421,902x = 22,964,099 × 22,964,099
  4. Step 4: Simplify right side
    10,421,902x = 527,349,842,881,801
  5. Step 5: Solve for x
    x = 527,349,842,881,801/10,421,902
  6. Step 6: Final answer
    x = 50,600,153.68

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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.