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Finding the Third Proportional to 16,658,158.50 and 37,144,390.50

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Solution

The third proportional to 16,658,158.50 and 37,144,390.50 is: 82,824,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658,158.50 : 37,144,390.50 = 37,144,390.50 : x
  2. Step 2: Convert to fraction form
    16,658,158.50/37,144,390.50 = 37,144,390.50/x
  3. Step 3: Cross multiply
    16,658,158.50x = 37,144,390.50 × 37,144,390.50
  4. Step 4: Simplify right side
    16,658,158.50x = 1,379,705,745,616,490.25
  5. Step 5: Solve for x
    x = 1,379,705,745,616,490.25/16,658,158.50
  6. Step 6: Final answer
    x = 82,824,625.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.