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Finding the Third Proportional to 11,497,197 and 18,035,734.50

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Solution

The third proportional to 11,497,197 and 18,035,734.50 is: 28,292,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497,197 : 18,035,734.50 = 18,035,734.50 : x
  2. Step 2: Convert to fraction form
    11,497,197/18,035,734.50 = 18,035,734.50/x
  3. Step 3: Cross multiply
    11,497,197x = 18,035,734.50 × 18,035,734.50
  4. Step 4: Simplify right side
    11,497,197x = 325,287,718,954,490.25
  5. Step 5: Solve for x
    x = 325,287,718,954,490.25/11,497,197
  6. Step 6: Final answer
    x = 28,292,784.66

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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.