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Finding the Third Proportional to 6,426,120 and 13,910,208

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Solution

The third proportional to 6,426,120 and 13,910,208 is: 30,110,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426,120 : 13,910,208 = 13,910,208 : x
  2. Step 2: Convert to fraction form
    6,426,120/13,910,208 = 13,910,208/x
  3. Step 3: Cross multiply
    6,426,120x = 13,910,208 × 13,910,208
  4. Step 4: Simplify right side
    6,426,120x = 193,493,886,603,264
  5. Step 5: Solve for x
    x = 193,493,886,603,264/6,426,120
  6. Step 6: Final answer
    x = 30,110,531.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.