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Finding the Third Proportional to 11,497,200 and 18,035,739

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Solution

The third proportional to 11,497,200 and 18,035,739 is: 28,292,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497,200 : 18,035,739 = 18,035,739 : x
  2. Step 2: Convert to fraction form
    11,497,200/18,035,739 = 18,035,739/x
  3. Step 3: Cross multiply
    11,497,200x = 18,035,739 × 18,035,739
  4. Step 4: Simplify right side
    11,497,200x = 325,287,881,276,121
  5. Step 5: Solve for x
    x = 325,287,881,276,121/11,497,200
  6. Step 6: Final answer
    x = 28,292,791.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.