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Finding the Third Proportional to 2,429,620,168 and 3,628,509,164

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Solution

The third proportional to 2,429,620,168 and 3,628,509,164 is: 5,418,986,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,620,168 : 3,628,509,164 = 3,628,509,164 : x
  2. Step 2: Convert to fraction form
    2,429,620,168/3,628,509,164 = 3,628,509,164/x
  3. Step 3: Cross multiply
    2,429,620,168x = 3,628,509,164 × 3,628,509,164
  4. Step 4: Simplify right side
    2,429,620,168x = 13,166,078,753,231,978,496
  5. Step 5: Solve for x
    x = 13,166,078,753,231,978,496/2,429,620,168
  6. Step 6: Final answer
    x = 5,418,986,443.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.