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Finding the Third Proportional to 6,991,543,971 and 14,980,335,561

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Solution

The third proportional to 6,991,543,971 and 14,980,335,561 is: 32,097,410,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991,543,971 : 14,980,335,561 = 14,980,335,561 : x
  2. Step 2: Convert to fraction form
    6,991,543,971/14,980,335,561 = 14,980,335,561/x
  3. Step 3: Cross multiply
    6,991,543,971x = 14,980,335,561 × 14,980,335,561
  4. Step 4: Simplify right side
    6,991,543,971x = 224,410,453,520,161,177,600
  5. Step 5: Solve for x
    x = 224,410,453,520,161,177,600/6,991,543,971
  6. Step 6: Final answer
    x = 32,097,410,021.45

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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.