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Finding the Third Proportional to 3,669,178.50 and 7,782,318

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Solution

The third proportional to 3,669,178.50 and 7,782,318 is: 16,506,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,178.50 : 7,782,318 = 7,782,318 : x
  2. Step 2: Convert to fraction form
    3,669,178.50/7,782,318 = 7,782,318/x
  3. Step 3: Cross multiply
    3,669,178.50x = 7,782,318 × 7,782,318
  4. Step 4: Simplify right side
    3,669,178.50x = 60,564,473,453,124
  5. Step 5: Solve for x
    x = 60,564,473,453,124/3,669,178.50
  6. Step 6: Final answer
    x = 16,506,276.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.