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Finding the Third Proportional to 14,531,900 and 34,255,742

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Solution

The third proportional to 14,531,900 and 34,255,742 is: 80,750,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531,900 : 34,255,742 = 34,255,742 : x
  2. Step 2: Convert to fraction form
    14,531,900/34,255,742 = 34,255,742/x
  3. Step 3: Cross multiply
    14,531,900x = 34,255,742 × 34,255,742
  4. Step 4: Simplify right side
    14,531,900x = 1,173,455,859,970,564
  5. Step 5: Solve for x
    x = 1,173,455,859,970,564/14,531,900
  6. Step 6: Final answer
    x = 80,750,339.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.