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Finding the Third Proportional to 7,687,797.75 and 10,813,855.50

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Solution

The third proportional to 7,687,797.75 and 10,813,855.50 is: 15,211,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687,797.75 : 10,813,855.50 = 10,813,855.50 : x
  2. Step 2: Convert to fraction form
    7,687,797.75/10,813,855.50 = 10,813,855.50/x
  3. Step 3: Cross multiply
    7,687,797.75x = 10,813,855.50 × 10,813,855.50
  4. Step 4: Simplify right side
    7,687,797.75x = 116,939,470,774,880.25
  5. Step 5: Solve for x
    x = 116,939,470,774,880.25/7,687,797.75
  6. Step 6: Final answer
    x = 15,211,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.