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Finding the Third Proportional to 3,678,927 and 8,042,142

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Solution

The third proportional to 3,678,927 and 8,042,142 is: 17,580,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678,927 : 8,042,142 = 8,042,142 : x
  2. Step 2: Convert to fraction form
    3,678,927/8,042,142 = 8,042,142/x
  3. Step 3: Cross multiply
    3,678,927x = 8,042,142 × 8,042,142
  4. Step 4: Simplify right side
    3,678,927x = 64,676,047,948,164
  5. Step 5: Solve for x
    x = 64,676,047,948,164/3,678,927
  6. Step 6: Final answer
    x = 17,580,138.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.