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Finding the Third Proportional to 6,689,931.75 and 14,608,473.19

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Solution

The third proportional to 6,689,931.75 and 14,608,473.19 is: 31,899,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689,931.75 : 14,608,473.19 = 14,608,473.19 : x
  2. Step 2: Convert to fraction form
    6,689,931.75/14,608,473.19 = 14,608,473.19/x
  3. Step 3: Cross multiply
    6,689,931.75x = 14,608,473.19 × 14,608,473.19
  4. Step 4: Simplify right side
    6,689,931.75x = 213,407,488,869,906.41
  5. Step 5: Solve for x
    x = 213,407,488,869,906.41/6,689,931.75
  6. Step 6: Final answer
    x = 31,899,800.60

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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.