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Finding the Third Proportional to 6,991,504,962 and 14,980,258,956

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Solution

The third proportional to 6,991,504,962 and 14,980,258,956 is: 32,097,260,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991,504,962 : 14,980,258,956 = 14,980,258,956 : x
  2. Step 2: Convert to fraction form
    6,991,504,962/14,980,258,956 = 14,980,258,956/x
  3. Step 3: Cross multiply
    6,991,504,962x = 14,980,258,956 × 14,980,258,956
  4. Step 4: Simplify right side
    6,991,504,962x = 224,408,158,388,818,214,912
  5. Step 5: Solve for x
    x = 224,408,158,388,818,214,912/6,991,504,962
  6. Step 6: Final answer
    x = 32,097,260,834.19

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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.