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Finding the Third Proportional to 22,673,150.44 and 46,297,967.34

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Solution

The third proportional to 22,673,150.44 and 46,297,967.34 is: 94,539,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673,150.44 : 46,297,967.34 = 46,297,967.34 : x
  2. Step 2: Convert to fraction form
    22,673,150.44/46,297,967.34 = 46,297,967.34/x
  3. Step 3: Cross multiply
    22,673,150.44x = 46,297,967.34 × 46,297,967.34
  4. Step 4: Simplify right side
    22,673,150.44x = 2,143,501,780,162,941.50
  5. Step 5: Solve for x
    x = 2,143,501,780,162,941.50/22,673,150.44
  6. Step 6: Final answer
    x = 94,539,212.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.