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Finding the Third Proportional to 5,833,589.25 and 8,402,918.63

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Solution

The third proportional to 5,833,589.25 and 8,402,918.63 is: 12,103,876.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833,589.25 : 8,402,918.63 = 8,402,918.63 : x
  2. Step 2: Convert to fraction form
    5,833,589.25/8,402,918.63 = 8,402,918.63/x
  3. Step 3: Cross multiply
    5,833,589.25x = 8,402,918.63 × 8,402,918.63
  4. Step 4: Simplify right side
    5,833,589.25x = 70,609,041,418,371.89
  5. Step 5: Solve for x
    x = 70,609,041,418,371.89/5,833,589.25
  6. Step 6: Final answer
    x = 12,103,876.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.