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Finding the Third Proportional to 5,457,459 and 8,185,503

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Solution

The third proportional to 5,457,459 and 8,185,503 is: 12,277,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457,459 : 8,185,503 = 8,185,503 : x
  2. Step 2: Convert to fraction form
    5,457,459/8,185,503 = 8,185,503/x
  3. Step 3: Cross multiply
    5,457,459x = 8,185,503 × 8,185,503
  4. Step 4: Simplify right side
    5,457,459x = 67,002,459,363,009
  5. Step 5: Solve for x
    x = 67,002,459,363,009/5,457,459
  6. Step 6: Final answer
    x = 12,277,226.34

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