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Finding the Third Proportional to 14,382,642 and 30,899,742

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Solution

The third proportional to 14,382,642 and 30,899,742 is: 66,385,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382,642 : 30,899,742 = 30,899,742 : x
  2. Step 2: Convert to fraction form
    14,382,642/30,899,742 = 30,899,742/x
  3. Step 3: Cross multiply
    14,382,642x = 30,899,742 × 30,899,742
  4. Step 4: Simplify right side
    14,382,642x = 954,794,055,666,564
  5. Step 5: Solve for x
    x = 954,794,055,666,564/14,382,642
  6. Step 6: Final answer
    x = 66,385,164.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.