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Finding the Third Proportional to 32,531,024 and 43,369,860

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Solution

The third proportional to 32,531,024 and 43,369,860 is: 57,820,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,531,024 : 43,369,860 = 43,369,860 : x
  2. Step 2: Convert to fraction form
    32,531,024/43,369,860 = 43,369,860/x
  3. Step 3: Cross multiply
    32,531,024x = 43,369,860 × 43,369,860
  4. Step 4: Simplify right side
    32,531,024x = 1,880,944,756,419,600
  5. Step 5: Solve for x
    x = 1,880,944,756,419,600/32,531,024
  6. Step 6: Final answer
    x = 57,820,029.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.