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Finding the Third Proportional to 5,314,028 and 8,459,742

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Solution

The third proportional to 5,314,028 and 8,459,742 is: 13,467,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,028 : 8,459,742 = 8,459,742 : x
  2. Step 2: Convert to fraction form
    5,314,028/8,459,742 = 8,459,742/x
  3. Step 3: Cross multiply
    5,314,028x = 8,459,742 × 8,459,742
  4. Step 4: Simplify right side
    5,314,028x = 71,567,234,706,564
  5. Step 5: Solve for x
    x = 71,567,234,706,564/5,314,028
  6. Step 6: Final answer
    x = 13,467,605.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.