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Finding the Third Proportional to 4,942,462.50 and 10,684,323

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Solution

The third proportional to 4,942,462.50 and 10,684,323 is: 23,096,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942,462.50 : 10,684,323 = 10,684,323 : x
  2. Step 2: Convert to fraction form
    4,942,462.50/10,684,323 = 10,684,323/x
  3. Step 3: Cross multiply
    4,942,462.50x = 10,684,323 × 10,684,323
  4. Step 4: Simplify right side
    4,942,462.50x = 114,154,757,968,329
  5. Step 5: Solve for x
    x = 114,154,757,968,329/4,942,462.50
  6. Step 6: Final answer
    x = 23,096,737.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.