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Finding the Third Proportional to 5,000,145 and 7,079,797.50

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Solution

The third proportional to 5,000,145 and 7,079,797.50 is: 10,024,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000,145 : 7,079,797.50 = 7,079,797.50 : x
  2. Step 2: Convert to fraction form
    5,000,145/7,079,797.50 = 7,079,797.50/x
  3. Step 3: Cross multiply
    5,000,145x = 7,079,797.50 × 7,079,797.50
  4. Step 4: Simplify right side
    5,000,145x = 50,123,532,641,006.25
  5. Step 5: Solve for x
    x = 50,123,532,641,006.25/5,000,145
  6. Step 6: Final answer
    x = 10,024,415.82

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.