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Finding the Third Proportional to 6,018,733 and 13,019,159

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Solution

The third proportional to 6,018,733 and 13,019,159 is: 28,161,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,018,733 : 13,019,159 = 13,019,159 : x
  2. Step 2: Convert to fraction form
    6,018,733/13,019,159 = 13,019,159/x
  3. Step 3: Cross multiply
    6,018,733x = 13,019,159 × 13,019,159
  4. Step 4: Simplify right side
    6,018,733x = 169,498,501,067,281
  5. Step 5: Solve for x
    x = 169,498,501,067,281/6,018,733
  6. Step 6: Final answer
    x = 28,161,824.27

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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.