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Finding the Third Proportional to 6,991,504,974 and 14,980,258,980

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Solution

The third proportional to 6,991,504,974 and 14,980,258,980 is: 32,097,260,881.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991,504,974 : 14,980,258,980 = 14,980,258,980 : x
  2. Step 2: Convert to fraction form
    6,991,504,974/14,980,258,980 = 14,980,258,980/x
  3. Step 3: Cross multiply
    6,991,504,974x = 14,980,258,980 × 14,980,258,980
  4. Step 4: Simplify right side
    6,991,504,974x = 224,408,159,107,870,654,464
  5. Step 5: Solve for x
    x = 224,408,159,107,870,654,464/6,991,504,974
  6. Step 6: Final answer
    x = 32,097,260,881.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.