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Finding the Third Proportional to 5,766,496.31 and 12,684,083.63

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Solution

The third proportional to 5,766,496.31 and 12,684,083.63 is: 27,900,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766,496.31 : 12,684,083.63 = 12,684,083.63 : x
  2. Step 2: Convert to fraction form
    5,766,496.31/12,684,083.63 = 12,684,083.63/x
  3. Step 3: Cross multiply
    5,766,496.31x = 12,684,083.63 × 12,684,083.63
  4. Step 4: Simplify right side
    5,766,496.31x = 160,885,977,405,993.12
  5. Step 5: Solve for x
    x = 160,885,977,405,993.12/5,766,496.31
  6. Step 6: Final answer
    x = 27,900,126.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.