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Finding the Third Proportional to 6,842,400 and 14,814,102

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Solution

The third proportional to 6,842,400 and 14,814,102 is: 32,073,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,400 : 14,814,102 = 14,814,102 : x
  2. Step 2: Convert to fraction form
    6,842,400/14,814,102 = 14,814,102/x
  3. Step 3: Cross multiply
    6,842,400x = 14,814,102 × 14,814,102
  4. Step 4: Simplify right side
    6,842,400x = 219,457,618,066,404
  5. Step 5: Solve for x
    x = 219,457,618,066,404/6,842,400
  6. Step 6: Final answer
    x = 32,073,193.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.