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Finding the Third Proportional to 10,097,130 and 22,021,836

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Solution

The third proportional to 10,097,130 and 22,021,836 is: 48,029,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,130 : 22,021,836 = 22,021,836 : x
  2. Step 2: Convert to fraction form
    10,097,130/22,021,836 = 22,021,836/x
  3. Step 3: Cross multiply
    10,097,130x = 22,021,836 × 22,021,836
  4. Step 4: Simplify right side
    10,097,130x = 484,961,260,810,896
  5. Step 5: Solve for x
    x = 484,961,260,810,896/10,097,130
  6. Step 6: Final answer
    x = 48,029,614.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.