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Finding the Third Proportional to 8,234,676 and 17,886,922.50

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Solution

The third proportional to 8,234,676 and 17,886,922.50 is: 38,853,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234,676 : 17,886,922.50 = 17,886,922.50 : x
  2. Step 2: Convert to fraction form
    8,234,676/17,886,922.50 = 17,886,922.50/x
  3. Step 3: Cross multiply
    8,234,676x = 17,886,922.50 × 17,886,922.50
  4. Step 4: Simplify right side
    8,234,676x = 319,941,996,521,006.25
  5. Step 5: Solve for x
    x = 319,941,996,521,006.25/8,234,676
  6. Step 6: Final answer
    x = 38,853,015.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.