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Finding the Third Proportional to 74,352,024 and 161,056,224

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Solution

The third proportional to 74,352,024 and 161,056,224 is: 348,868,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,352,024 : 161,056,224 = 161,056,224 : x
  2. Step 2: Convert to fraction form
    74,352,024/161,056,224 = 161,056,224/x
  3. Step 3: Cross multiply
    74,352,024x = 161,056,224 × 161,056,224
  4. Step 4: Simplify right side
    74,352,024x = 25,939,107,289,138,176
  5. Step 5: Solve for x
    x = 25,939,107,289,138,176/74,352,024
  6. Step 6: Final answer
    x = 348,868,879.33

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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.