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Finding the Third Proportional to 5,196,752 and 11,337,856

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Solution

The third proportional to 5,196,752 and 11,337,856 is: 24,736,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,752 : 11,337,856 = 11,337,856 : x
  2. Step 2: Convert to fraction form
    5,196,752/11,337,856 = 11,337,856/x
  3. Step 3: Cross multiply
    5,196,752x = 11,337,856 × 11,337,856
  4. Step 4: Simplify right side
    5,196,752x = 128,546,978,676,736
  5. Step 5: Solve for x
    x = 128,546,978,676,736/5,196,752
  6. Step 6: Final answer
    x = 24,736,023.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.