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Finding the Third Proportional to 4,678,038 and 6,998,021

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Solution

The third proportional to 4,678,038 and 6,998,021 is: 10,468,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,038 : 6,998,021 = 6,998,021 : x
  2. Step 2: Convert to fraction form
    4,678,038/6,998,021 = 6,998,021/x
  3. Step 3: Cross multiply
    4,678,038x = 6,998,021 × 6,998,021
  4. Step 4: Simplify right side
    4,678,038x = 48,972,297,916,441
  5. Step 5: Solve for x
    x = 48,972,297,916,441/4,678,038
  6. Step 6: Final answer
    x = 10,468,554.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.