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Finding the Third Proportional to 3,620,643.75 and 7,538,901.75

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Solution

The third proportional to 3,620,643.75 and 7,538,901.75 is: 15,697,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620,643.75 : 7,538,901.75 = 7,538,901.75 : x
  2. Step 2: Convert to fraction form
    3,620,643.75/7,538,901.75 = 7,538,901.75/x
  3. Step 3: Cross multiply
    3,620,643.75x = 7,538,901.75 × 7,538,901.75
  4. Step 4: Simplify right side
    3,620,643.75x = 56,835,039,596,153.06
  5. Step 5: Solve for x
    x = 56,835,039,596,153.06/3,620,643.75
  6. Step 6: Final answer
    x = 15,697,495.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.