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Finding the Third Proportional to 6,467,848 and 14,083,160

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Solution

The third proportional to 6,467,848 and 14,083,160 is: 30,664,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,848 : 14,083,160 = 14,083,160 : x
  2. Step 2: Convert to fraction form
    6,467,848/14,083,160 = 14,083,160/x
  3. Step 3: Cross multiply
    6,467,848x = 14,083,160 × 14,083,160
  4. Step 4: Simplify right side
    6,467,848x = 198,335,395,585,600
  5. Step 5: Solve for x
    x = 198,335,395,585,600/6,467,848
  6. Step 6: Final answer
    x = 30,664,820.14

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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.