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Finding the Third Proportional to 5,644,545.75 and 12,017,280.75

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Solution

The third proportional to 5,644,545.75 and 12,017,280.75 is: 25,584,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644,545.75 : 12,017,280.75 = 12,017,280.75 : x
  2. Step 2: Convert to fraction form
    5,644,545.75/12,017,280.75 = 12,017,280.75/x
  3. Step 3: Cross multiply
    5,644,545.75x = 12,017,280.75 × 12,017,280.75
  4. Step 4: Simplify right side
    5,644,545.75x = 144,415,036,624,320.56
  5. Step 5: Solve for x
    x = 144,415,036,624,320.56/5,644,545.75
  6. Step 6: Final answer
    x = 25,584,881.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.