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Finding the Third Proportional to 6,991,504,971 and 14,980,258,974

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Solution

The third proportional to 6,991,504,971 and 14,980,258,974 is: 32,097,260,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991,504,971 : 14,980,258,974 = 14,980,258,974 : x
  2. Step 2: Convert to fraction form
    6,991,504,971/14,980,258,974 = 14,980,258,974/x
  3. Step 3: Cross multiply
    6,991,504,971x = 14,980,258,974 × 14,980,258,974
  4. Step 4: Simplify right side
    6,991,504,971x = 224,408,158,928,107,536,384
  5. Step 5: Solve for x
    x = 224,408,158,928,107,536,384/6,991,504,971
  6. Step 6: Final answer
    x = 32,097,260,870.00

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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.