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Finding the Third Proportional to 13,823,084 and 30,714,232

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Solution

The third proportional to 13,823,084 and 30,714,232 is: 68,245,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823,084 : 30,714,232 = 30,714,232 : x
  2. Step 2: Convert to fraction form
    13,823,084/30,714,232 = 30,714,232/x
  3. Step 3: Cross multiply
    13,823,084x = 30,714,232 × 30,714,232
  4. Step 4: Simplify right side
    13,823,084x = 943,364,047,349,824
  5. Step 5: Solve for x
    x = 943,364,047,349,824/13,823,084
  6. Step 6: Final answer
    x = 68,245,555.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.