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Finding the Third Proportional to 40,433,400 and 57,820,231.50

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Solution

The third proportional to 40,433,400 and 57,820,231.50 is: 82,683,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,433,400 : 57,820,231.50 = 57,820,231.50 : x
  2. Step 2: Convert to fraction form
    40,433,400/57,820,231.50 = 57,820,231.50/x
  3. Step 3: Cross multiply
    40,433,400x = 57,820,231.50 × 57,820,231.50
  4. Step 4: Simplify right side
    40,433,400x = 3,343,179,170,713,592
  5. Step 5: Solve for x
    x = 3,343,179,170,713,592/40,433,400
  6. Step 6: Final answer
    x = 82,683,602.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.