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Finding the Third Proportional to 4,678,036 and 6,998,020

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Solution

The third proportional to 4,678,036 and 6,998,020 is: 10,468,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,036 : 6,998,020 = 6,998,020 : x
  2. Step 2: Convert to fraction form
    4,678,036/6,998,020 = 6,998,020/x
  3. Step 3: Cross multiply
    4,678,036x = 6,998,020 × 6,998,020
  4. Step 4: Simplify right side
    4,678,036x = 48,972,283,920,400
  5. Step 5: Solve for x
    x = 48,972,283,920,400/4,678,036
  6. Step 6: Final answer
    x = 10,468,556.45

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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.