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Finding the Third Proportional to 5,385,924 and 11,801,904

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Solution

The third proportional to 5,385,924 and 11,801,904 is: 25,860,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385,924 : 11,801,904 = 11,801,904 : x
  2. Step 2: Convert to fraction form
    5,385,924/11,801,904 = 11,801,904/x
  3. Step 3: Cross multiply
    5,385,924x = 11,801,904 × 11,801,904
  4. Step 4: Simplify right side
    5,385,924x = 139,284,938,025,216
  5. Step 5: Solve for x
    x = 139,284,938,025,216/5,385,924
  6. Step 6: Final answer
    x = 25,860,917.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.