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Finding the Third Proportional to 7,797,870.75 and 17,388,724.50

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Solution

The third proportional to 7,797,870.75 and 17,388,724.50 is: 38,775,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,870.75 : 17,388,724.50 = 17,388,724.50 : x
  2. Step 2: Convert to fraction form
    7,797,870.75/17,388,724.50 = 17,388,724.50/x
  3. Step 3: Cross multiply
    7,797,870.75x = 17,388,724.50 × 17,388,724.50
  4. Step 4: Simplify right side
    7,797,870.75x = 302,367,739,736,900.25
  5. Step 5: Solve for x
    x = 302,367,739,736,900.25/7,797,870.75
  6. Step 6: Final answer
    x = 38,775,679.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.