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Finding the Third Proportional to 7,239,524 and 14,980,176

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Solution

The third proportional to 7,239,524 and 14,980,176 is: 30,997,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239,524 : 14,980,176 = 14,980,176 : x
  2. Step 2: Convert to fraction form
    7,239,524/14,980,176 = 14,980,176/x
  3. Step 3: Cross multiply
    7,239,524x = 14,980,176 × 14,980,176
  4. Step 4: Simplify right side
    7,239,524x = 224,405,672,990,976
  5. Step 5: Solve for x
    x = 224,405,672,990,976/7,239,524
  6. Step 6: Final answer
    x = 30,997,296.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.