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Finding the Third Proportional to 6,513,802,176 and 14,222,156,456

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Solution

The third proportional to 6,513,802,176 and 14,222,156,456 is: 31,052,483,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,802,176 : 14,222,156,456 = 14,222,156,456 : x
  2. Step 2: Convert to fraction form
    6,513,802,176/14,222,156,456 = 14,222,156,456/x
  3. Step 3: Cross multiply
    6,513,802,176x = 14,222,156,456 × 14,222,156,456
  4. Step 4: Simplify right side
    6,513,802,176x = 202,269,734,258,942,476,288
  5. Step 5: Solve for x
    x = 202,269,734,258,942,476,288/6,513,802,176
  6. Step 6: Final answer
    x = 31,052,483,448.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.