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Finding the Third Proportional to 5,464,306 and 8,152,171

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Solution

The third proportional to 5,464,306 and 8,152,171 is: 12,162,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464,306 : 8,152,171 = 8,152,171 : x
  2. Step 2: Convert to fraction form
    5,464,306/8,152,171 = 8,152,171/x
  3. Step 3: Cross multiply
    5,464,306x = 8,152,171 × 8,152,171
  4. Step 4: Simplify right side
    5,464,306x = 66,457,892,013,241
  5. Step 5: Solve for x
    x = 66,457,892,013,241/5,464,306
  6. Step 6: Final answer
    x = 12,162,183.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.