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Finding the Third Proportional to 40,180,144 and 87,210,008

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Solution

The third proportional to 40,180,144 and 87,210,008 is: 189,287,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,180,144 : 87,210,008 = 87,210,008 : x
  2. Step 2: Convert to fraction form
    40,180,144/87,210,008 = 87,210,008/x
  3. Step 3: Cross multiply
    40,180,144x = 87,210,008 × 87,210,008
  4. Step 4: Simplify right side
    40,180,144x = 7,605,585,495,360,064
  5. Step 5: Solve for x
    x = 7,605,585,495,360,064/40,180,144
  6. Step 6: Final answer
    x = 189,287,163.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.