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Finding the Third Proportional to 14,385,824 and 30,823,606

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Solution

The third proportional to 14,385,824 and 30,823,606 is: 66,043,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385,824 : 30,823,606 = 30,823,606 : x
  2. Step 2: Convert to fraction form
    14,385,824/30,823,606 = 30,823,606/x
  3. Step 3: Cross multiply
    14,385,824x = 30,823,606 × 30,823,606
  4. Step 4: Simplify right side
    14,385,824x = 950,094,686,843,236
  5. Step 5: Solve for x
    x = 950,094,686,843,236/14,385,824
  6. Step 6: Final answer
    x = 66,043,814.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.