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Finding the Third Proportional to 7,797,970.50 and 17,388,928.50

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Solution

The third proportional to 7,797,970.50 and 17,388,928.50 is: 38,776,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,970.50 : 17,388,928.50 = 17,388,928.50 : x
  2. Step 2: Convert to fraction form
    7,797,970.50/17,388,928.50 = 17,388,928.50/x
  3. Step 3: Cross multiply
    7,797,970.50x = 17,388,928.50 × 17,388,928.50
  4. Step 4: Simplify right side
    7,797,970.50x = 302,374,834,378,112.25
  5. Step 5: Solve for x
    x = 302,374,834,378,112.25/7,797,970.50
  6. Step 6: Final answer
    x = 38,776,093.65

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