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Finding the Third Proportional to 7,303,224 and 15,761,176

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Solution

The third proportional to 7,303,224 and 15,761,176 is: 34,014,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303,224 : 15,761,176 = 15,761,176 : x
  2. Step 2: Convert to fraction form
    7,303,224/15,761,176 = 15,761,176/x
  3. Step 3: Cross multiply
    7,303,224x = 15,761,176 × 15,761,176
  4. Step 4: Simplify right side
    7,303,224x = 248,414,668,902,976
  5. Step 5: Solve for x
    x = 248,414,668,902,976/7,303,224
  6. Step 6: Final answer
    x = 34,014,384.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.