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Finding the Third Proportional to 7,664,799 and 12,023,824.50

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Solution

The third proportional to 7,664,799 and 12,023,824.50 is: 18,861,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,799 : 12,023,824.50 = 12,023,824.50 : x
  2. Step 2: Convert to fraction form
    7,664,799/12,023,824.50 = 12,023,824.50/x
  3. Step 3: Cross multiply
    7,664,799x = 12,023,824.50 × 12,023,824.50
  4. Step 4: Simplify right side
    7,664,799x = 144,572,355,606,800.25
  5. Step 5: Solve for x
    x = 144,572,355,606,800.25/7,664,799
  6. Step 6: Final answer
    x = 18,861,858.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.