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Finding the Third Proportional to 4,318,125,226 and 6,634,322,159

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Solution

The third proportional to 4,318,125,226 and 6,634,322,159 is: 10,192,902,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318,125,226 : 6,634,322,159 = 6,634,322,159 : x
  2. Step 2: Convert to fraction form
    4,318,125,226/6,634,322,159 = 6,634,322,159/x
  3. Step 3: Cross multiply
    4,318,125,226x = 6,634,322,159 × 6,634,322,159
  4. Step 4: Simplify right side
    4,318,125,226x = 44,014,230,509,398,417,408
  5. Step 5: Solve for x
    x = 44,014,230,509,398,417,408/4,318,125,226
  6. Step 6: Final answer
    x = 10,192,902,754.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.