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Finding the Third Proportional to 41,066,424 and 57,416,796

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Solution

The third proportional to 41,066,424 and 57,416,796 is: 80,276,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,066,424 : 57,416,796 = 57,416,796 : x
  2. Step 2: Convert to fraction form
    41,066,424/57,416,796 = 57,416,796/x
  3. Step 3: Cross multiply
    41,066,424x = 57,416,796 × 57,416,796
  4. Step 4: Simplify right side
    41,066,424x = 3,296,688,462,905,616
  5. Step 5: Solve for x
    x = 3,296,688,462,905,616/41,066,424
  6. Step 6: Final answer
    x = 80,276,979.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.