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Finding the Third Proportional to 10,283,855 and 15,047,225

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Solution

The third proportional to 10,283,855 and 15,047,225 is: 22,016,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283,855 : 15,047,225 = 15,047,225 : x
  2. Step 2: Convert to fraction form
    10,283,855/15,047,225 = 15,047,225/x
  3. Step 3: Cross multiply
    10,283,855x = 15,047,225 × 15,047,225
  4. Step 4: Simplify right side
    10,283,855x = 226,418,980,200,625
  5. Step 5: Solve for x
    x = 226,418,980,200,625/10,283,855
  6. Step 6: Final answer
    x = 22,016,936.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.