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Finding the Third Proportional to 7,285,137 and 15,888,714

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Solution

The third proportional to 7,285,137 and 15,888,714 is: 34,652,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,285,137 : 15,888,714 = 15,888,714 : x
  2. Step 2: Convert to fraction form
    7,285,137/15,888,714 = 15,888,714/x
  3. Step 3: Cross multiply
    7,285,137x = 15,888,714 × 15,888,714
  4. Step 4: Simplify right side
    7,285,137x = 252,451,232,573,796
  5. Step 5: Solve for x
    x = 252,451,232,573,796/7,285,137
  6. Step 6: Final answer
    x = 34,652,914.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.