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Finding the Third Proportional to 57,602,400 and 81,024,912

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Solution

The third proportional to 57,602,400 and 81,024,912 is: 113,971,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,602,400 : 81,024,912 = 81,024,912 : x
  2. Step 2: Convert to fraction form
    57,602,400/81,024,912 = 81,024,912/x
  3. Step 3: Cross multiply
    57,602,400x = 81,024,912 × 81,024,912
  4. Step 4: Simplify right side
    57,602,400x = 6,565,036,364,607,744
  5. Step 5: Solve for x
    x = 6,565,036,364,607,744/57,602,400
  6. Step 6: Final answer
    x = 113,971,576.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.