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Finding the Third Proportional to 10,505,996 and 23,004,900

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Solution

The third proportional to 10,505,996 and 23,004,900 is: 50,373,655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,996 : 23,004,900 = 23,004,900 : x
  2. Step 2: Convert to fraction form
    10,505,996/23,004,900 = 23,004,900/x
  3. Step 3: Cross multiply
    10,505,996x = 23,004,900 × 23,004,900
  4. Step 4: Simplify right side
    10,505,996x = 529,225,424,010,000
  5. Step 5: Solve for x
    x = 529,225,424,010,000/10,505,996
  6. Step 6: Final answer
    x = 50,373,655.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.