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Finding the Third Proportional to 4,678,045 and 6,998,028

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Solution

The third proportional to 4,678,045 and 6,998,028 is: 10,468,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,045 : 6,998,028 = 6,998,028 : x
  2. Step 2: Convert to fraction form
    4,678,045/6,998,028 = 6,998,028/x
  3. Step 3: Cross multiply
    4,678,045x = 6,998,028 × 6,998,028
  4. Step 4: Simplify right side
    4,678,045x = 48,972,395,888,784
  5. Step 5: Solve for x
    x = 48,972,395,888,784/4,678,045
  6. Step 6: Final answer
    x = 10,468,560.24

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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.