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Finding the Third Proportional to 6,550,224 and 14,213,712

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Solution

The third proportional to 6,550,224 and 14,213,712 is: 30,843,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550,224 : 14,213,712 = 14,213,712 : x
  2. Step 2: Convert to fraction form
    6,550,224/14,213,712 = 14,213,712/x
  3. Step 3: Cross multiply
    6,550,224x = 14,213,712 × 14,213,712
  4. Step 4: Simplify right side
    6,550,224x = 202,029,608,818,944
  5. Step 5: Solve for x
    x = 202,029,608,818,944/6,550,224
  6. Step 6: Final answer
    x = 30,843,160.30

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Why These Related Problems?

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