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Finding the Third Proportional to 5,171,994 and 10,974,420

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Solution

The third proportional to 5,171,994 and 10,974,420 is: 23,286,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171,994 : 10,974,420 = 10,974,420 : x
  2. Step 2: Convert to fraction form
    5,171,994/10,974,420 = 10,974,420/x
  3. Step 3: Cross multiply
    5,171,994x = 10,974,420 × 10,974,420
  4. Step 4: Simplify right side
    5,171,994x = 120,437,894,336,400
  5. Step 5: Solve for x
    x = 120,437,894,336,400/5,171,994
  6. Step 6: Final answer
    x = 23,286,549.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.