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Finding the Third Proportional to 4,318,125,192 and 6,634,322,106

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Solution

The third proportional to 4,318,125,192 and 6,634,322,106 is: 10,192,902,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318,125,192 : 6,634,322,106 = 6,634,322,106 : x
  2. Step 2: Convert to fraction form
    4,318,125,192/6,634,322,106 = 6,634,322,106/x
  3. Step 3: Cross multiply
    4,318,125,192x = 6,634,322,106 × 6,634,322,106
  4. Step 4: Simplify right side
    4,318,125,192x = 44,014,229,806,160,273,408
  5. Step 5: Solve for x
    x = 44,014,229,806,160,273,408/4,318,125,192
  6. Step 6: Final answer
    x = 10,192,902,671.67

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