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Finding the Third Proportional to 22,807,299 and 47,231,431.50

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Solution

The third proportional to 22,807,299 and 47,231,431.50 is: 97,811,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807,299 : 47,231,431.50 = 47,231,431.50 : x
  2. Step 2: Convert to fraction form
    22,807,299/47,231,431.50 = 47,231,431.50/x
  3. Step 3: Cross multiply
    22,807,299x = 47,231,431.50 × 47,231,431.50
  4. Step 4: Simplify right side
    22,807,299x = 2,230,808,121,539,192.25
  5. Step 5: Solve for x
    x = 2,230,808,121,539,192.25/22,807,299
  6. Step 6: Final answer
    x = 97,811,149.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.