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Finding the Third Proportional to 10,306,130 and 22,388,100

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Solution

The third proportional to 10,306,130 and 22,388,100 is: 48,633,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306,130 : 22,388,100 = 22,388,100 : x
  2. Step 2: Convert to fraction form
    10,306,130/22,388,100 = 22,388,100/x
  3. Step 3: Cross multiply
    10,306,130x = 22,388,100 × 22,388,100
  4. Step 4: Simplify right side
    10,306,130x = 501,227,021,610,000
  5. Step 5: Solve for x
    x = 501,227,021,610,000/10,306,130
  6. Step 6: Final answer
    x = 48,633,873.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.