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Finding the Third Proportional to 4,786,099 and 10,244,963

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Solution

The third proportional to 4,786,099 and 10,244,963 is: 21,930,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,099 : 10,244,963 = 10,244,963 : x
  2. Step 2: Convert to fraction form
    4,786,099/10,244,963 = 10,244,963/x
  3. Step 3: Cross multiply
    4,786,099x = 10,244,963 × 10,244,963
  4. Step 4: Simplify right side
    4,786,099x = 104,959,266,871,369
  5. Step 5: Solve for x
    x = 104,959,266,871,369/4,786,099
  6. Step 6: Final answer
    x = 21,930,024.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.