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Finding the Third Proportional to 4,598,224 and 10,839,293

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Solution

The third proportional to 4,598,224 and 10,839,293 is: 25,551,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598,224 : 10,839,293 = 10,839,293 : x
  2. Step 2: Convert to fraction form
    4,598,224/10,839,293 = 10,839,293/x
  3. Step 3: Cross multiply
    4,598,224x = 10,839,293 × 10,839,293
  4. Step 4: Simplify right side
    4,598,224x = 117,490,272,739,849
  5. Step 5: Solve for x
    x = 117,490,272,739,849/4,598,224
  6. Step 6: Final answer
    x = 25,551,228.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.