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Finding the Third Proportional to 3,184,037,860 and 6,889,619,816

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Solution

The third proportional to 3,184,037,860 and 6,889,619,816 is: 14,907,756,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,037,860 : 6,889,619,816 = 6,889,619,816 : x
  2. Step 2: Convert to fraction form
    3,184,037,860/6,889,619,816 = 6,889,619,816/x
  3. Step 3: Cross multiply
    3,184,037,860x = 6,889,619,816 × 6,889,619,816
  4. Step 4: Simplify right side
    3,184,037,860x = 47,466,861,209,019,875,328
  5. Step 5: Solve for x
    x = 47,466,861,209,019,875,328/3,184,037,860
  6. Step 6: Final answer
    x = 14,907,756,533.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.