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Finding the Third Proportional to 36,088,007 and 74,089,146

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Solution

The third proportional to 36,088,007 and 74,089,146 is: 152,105,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,088,007 : 74,089,146 = 74,089,146 : x
  2. Step 2: Convert to fraction form
    36,088,007/74,089,146 = 74,089,146/x
  3. Step 3: Cross multiply
    36,088,007x = 74,089,146 × 74,089,146
  4. Step 4: Simplify right side
    36,088,007x = 5,489,201,555,009,316
  5. Step 5: Solve for x
    x = 5,489,201,555,009,316/36,088,007
  6. Step 6: Final answer
    x = 152,105,976.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.