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Finding the Third Proportional to 14,250,676 and 30,740,841

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Solution

The third proportional to 14,250,676 and 30,740,841 is: 66,312,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,250,676 : 30,740,841 = 30,740,841 : x
  2. Step 2: Convert to fraction form
    14,250,676/30,740,841 = 30,740,841/x
  3. Step 3: Cross multiply
    14,250,676x = 30,740,841 × 30,740,841
  4. Step 4: Simplify right side
    14,250,676x = 944,999,305,387,281
  5. Step 5: Solve for x
    x = 944,999,305,387,281/14,250,676
  6. Step 6: Final answer
    x = 66,312,594.95

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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.