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Finding the Third Proportional to 7,182,900 and 15,505,272

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Solution

The third proportional to 7,182,900 and 15,505,272 is: 33,470,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182,900 : 15,505,272 = 15,505,272 : x
  2. Step 2: Convert to fraction form
    7,182,900/15,505,272 = 15,505,272/x
  3. Step 3: Cross multiply
    7,182,900x = 15,505,272 × 15,505,272
  4. Step 4: Simplify right side
    7,182,900x = 240,413,459,793,984
  5. Step 5: Solve for x
    x = 240,413,459,793,984/7,182,900
  6. Step 6: Final answer
    x = 33,470,250.15

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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.