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Finding the Third Proportional to 6,214,840 and 13,559,456

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Solution

The third proportional to 6,214,840 and 13,559,456 is: 29,583,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,840 : 13,559,456 = 13,559,456 : x
  2. Step 2: Convert to fraction form
    6,214,840/13,559,456 = 13,559,456/x
  3. Step 3: Cross multiply
    6,214,840x = 13,559,456 × 13,559,456
  4. Step 4: Simplify right side
    6,214,840x = 183,858,847,015,936
  5. Step 5: Solve for x
    x = 183,858,847,015,936/6,214,840
  6. Step 6: Final answer
    x = 29,583,842.39

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