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Finding the Third Proportional to 7,606,493,125 and 10,510,735,861.50

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Solution

The third proportional to 7,606,493,125 and 10,510,735,861.50 is: 14,523,850,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606,493,125 : 10,510,735,861.50 = 10,510,735,861.50 : x
  2. Step 2: Convert to fraction form
    7,606,493,125/10,510,735,861.50 = 10,510,735,861.50/x
  3. Step 3: Cross multiply
    7,606,493,125x = 10,510,735,861.50 × 10,510,735,861.50
  4. Step 4: Simplify right side
    7,606,493,125x = 110,475,568,350,222,139,392
  5. Step 5: Solve for x
    x = 110,475,568,350,222,139,392/7,606,493,125
  6. Step 6: Final answer
    x = 14,523,850,417.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.