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Finding the Third Proportional to 40,041,222 and 87,422,014

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Solution

The third proportional to 40,041,222 and 87,422,014 is: 190,868,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,041,222 : 87,422,014 = 87,422,014 : x
  2. Step 2: Convert to fraction form
    40,041,222/87,422,014 = 87,422,014/x
  3. Step 3: Cross multiply
    40,041,222x = 87,422,014 × 87,422,014
  4. Step 4: Simplify right side
    40,041,222x = 7,642,608,531,816,196
  5. Step 5: Solve for x
    x = 7,642,608,531,816,196/40,041,222
  6. Step 6: Final answer
    x = 190,868,513.75

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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.