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Finding the Third Proportional to 4,598,229 and 10,839,306

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Solution

The third proportional to 4,598,229 and 10,839,306 is: 25,551,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598,229 : 10,839,306 = 10,839,306 : x
  2. Step 2: Convert to fraction form
    4,598,229/10,839,306 = 10,839,306/x
  3. Step 3: Cross multiply
    4,598,229x = 10,839,306 × 10,839,306
  4. Step 4: Simplify right side
    4,598,229x = 117,490,554,561,636
  5. Step 5: Solve for x
    x = 117,490,554,561,636/4,598,229
  6. Step 6: Final answer
    x = 25,551,262.14

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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.