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Finding the Third Proportional to 4,532,814 and 9,572,458.50

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Solution

The third proportional to 4,532,814 and 9,572,458.50 is: 20,215,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532,814 : 9,572,458.50 = 9,572,458.50 : x
  2. Step 2: Convert to fraction form
    4,532,814/9,572,458.50 = 9,572,458.50/x
  3. Step 3: Cross multiply
    4,532,814x = 9,572,458.50 × 9,572,458.50
  4. Step 4: Simplify right side
    4,532,814x = 91,631,961,734,222.25
  5. Step 5: Solve for x
    x = 91,631,961,734,222.25/4,532,814
  6. Step 6: Final answer
    x = 20,215,248.57

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.