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Finding the Third Proportional to 19,697,373 and 31,466,974.50

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Solution

The third proportional to 19,697,373 and 31,466,974.50 is: 50,269,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697,373 : 31,466,974.50 = 31,466,974.50 : x
  2. Step 2: Convert to fraction form
    19,697,373/31,466,974.50 = 31,466,974.50/x
  3. Step 3: Cross multiply
    19,697,373x = 31,466,974.50 × 31,466,974.50
  4. Step 4: Simplify right side
    19,697,373x = 990,170,484,183,650.25
  5. Step 5: Solve for x
    x = 990,170,484,183,650.25/19,697,373
  6. Step 6: Final answer
    x = 50,269,164.53

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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.