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Finding the Third Proportional to 5,174,743 and 10,885,706

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Solution

The third proportional to 5,174,743 and 10,885,706 is: 22,899,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,743 : 10,885,706 = 10,885,706 : x
  2. Step 2: Convert to fraction form
    5,174,743/10,885,706 = 10,885,706/x
  3. Step 3: Cross multiply
    5,174,743x = 10,885,706 × 10,885,706
  4. Step 4: Simplify right side
    5,174,743x = 118,498,595,118,436
  5. Step 5: Solve for x
    x = 118,498,595,118,436/5,174,743
  6. Step 6: Final answer
    x = 22,899,416.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.