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Finding the Third Proportional to 23,463,161.16 and 34,354,797.05

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Solution

The third proportional to 23,463,161.16 and 34,354,797.05 is: 50,302,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,463,161.16 : 34,354,797.05 = 34,354,797.05 : x
  2. Step 2: Convert to fraction form
    23,463,161.16/34,354,797.05 = 34,354,797.05/x
  3. Step 3: Cross multiply
    23,463,161.16x = 34,354,797.05 × 34,354,797.05
  4. Step 4: Simplify right side
    23,463,161.16x = 1,180,252,080,131,971.25
  5. Step 5: Solve for x
    x = 1,180,252,080,131,971.25/23,463,161.16
  6. Step 6: Final answer
    x = 50,302,347.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.