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Finding the Third Proportional to 14,215,824 and 30,701,208

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Solution

The third proportional to 14,215,824 and 30,701,208 is: 66,303,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215,824 : 30,701,208 = 30,701,208 : x
  2. Step 2: Convert to fraction form
    14,215,824/30,701,208 = 30,701,208/x
  3. Step 3: Cross multiply
    14,215,824x = 30,701,208 × 30,701,208
  4. Step 4: Simplify right side
    14,215,824x = 942,564,172,659,264
  5. Step 5: Solve for x
    x = 942,564,172,659,264/14,215,824
  6. Step 6: Final answer
    x = 66,303,871.84

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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.