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Finding the Third Proportional to 11,004,100 and 24,133,968

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Solution

The third proportional to 11,004,100 and 24,133,968 is: 52,930,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004,100 : 24,133,968 = 24,133,968 : x
  2. Step 2: Convert to fraction form
    11,004,100/24,133,968 = 24,133,968/x
  3. Step 3: Cross multiply
    11,004,100x = 24,133,968 × 24,133,968
  4. Step 4: Simplify right side
    11,004,100x = 582,448,411,425,024
  5. Step 5: Solve for x
    x = 582,448,411,425,024/11,004,100
  6. Step 6: Final answer
    x = 52,930,127.08

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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.