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Finding the Third Proportional to 14,381,973 and 30,898,455.75

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Solution

The third proportional to 14,381,973 and 30,898,455.75 is: 66,382,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381,973 : 30,898,455.75 = 30,898,455.75 : x
  2. Step 2: Convert to fraction form
    14,381,973/30,898,455.75 = 30,898,455.75/x
  3. Step 3: Cross multiply
    14,381,973x = 30,898,455.75 × 30,898,455.75
  4. Step 4: Simplify right side
    14,381,973x = 954,714,567,734,708
  5. Step 5: Solve for x
    x = 954,714,567,734,708/14,381,973
  6. Step 6: Final answer
    x = 66,382,725.63

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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.