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Finding the Third Proportional to 6,197,994 and 13,391,894

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Solution

The third proportional to 6,197,994 and 13,391,894 is: 28,935,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,994 : 13,391,894 = 13,391,894 : x
  2. Step 2: Convert to fraction form
    6,197,994/13,391,894 = 13,391,894/x
  3. Step 3: Cross multiply
    6,197,994x = 13,391,894 × 13,391,894
  4. Step 4: Simplify right side
    6,197,994x = 179,342,824,907,236
  5. Step 5: Solve for x
    x = 179,342,824,907,236/6,197,994
  6. Step 6: Final answer
    x = 28,935,624.16

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Why These Related Problems?

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