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Finding the Third Proportional to 10,505,576 and 23,004,056

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Solution

The third proportional to 10,505,576 and 23,004,056 is: 50,371,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,576 : 23,004,056 = 23,004,056 : x
  2. Step 2: Convert to fraction form
    10,505,576/23,004,056 = 23,004,056/x
  3. Step 3: Cross multiply
    10,505,576x = 23,004,056 × 23,004,056
  4. Step 4: Simplify right side
    10,505,576x = 529,186,592,451,136
  5. Step 5: Solve for x
    x = 529,186,592,451,136/10,505,576
  6. Step 6: Final answer
    x = 50,371,973.17

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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.