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Finding the Third Proportional to 19,697,361.75 and 31,466,958.75

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Solution

The third proportional to 19,697,361.75 and 31,466,958.75 is: 50,269,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697,361.75 : 31,466,958.75 = 31,466,958.75 : x
  2. Step 2: Convert to fraction form
    19,697,361.75/31,466,958.75 = 31,466,958.75/x
  3. Step 3: Cross multiply
    19,697,361.75x = 31,466,958.75 × 31,466,958.75
  4. Step 4: Simplify right side
    19,697,361.75x = 990,169,492,974,201.50
  5. Step 5: Solve for x
    x = 990,169,492,974,201.50/19,697,361.75
  6. Step 6: Final answer
    x = 50,269,142.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.