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Finding the Third Proportional to 5,314,014 and 8,459,721

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Solution

The third proportional to 5,314,014 and 8,459,721 is: 13,467,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,014 : 8,459,721 = 8,459,721 : x
  2. Step 2: Convert to fraction form
    5,314,014/8,459,721 = 8,459,721/x
  3. Step 3: Cross multiply
    5,314,014x = 8,459,721 × 8,459,721
  4. Step 4: Simplify right side
    5,314,014x = 71,566,879,397,841
  5. Step 5: Solve for x
    x = 71,566,879,397,841/5,314,014
  6. Step 6: Final answer
    x = 13,467,574.49

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