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Finding the Third Proportional to 6,659,028 and 14,614,196

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Solution

The third proportional to 6,659,028 and 14,614,196 is: 32,072,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659,028 : 14,614,196 = 14,614,196 : x
  2. Step 2: Convert to fraction form
    6,659,028/14,614,196 = 14,614,196/x
  3. Step 3: Cross multiply
    6,659,028x = 14,614,196 × 14,614,196
  4. Step 4: Simplify right side
    6,659,028x = 213,574,724,726,416
  5. Step 5: Solve for x
    x = 213,574,724,726,416/6,659,028
  6. Step 6: Final answer
    x = 32,072,957.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.