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Finding the Third Proportional to 6,980,884,076.53 and 9,795,562,286.48

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Solution

The third proportional to 6,980,884,076.53 and 9,795,562,286.48 is: 13,745,113,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980,884,076.53 : 9,795,562,286.48 = 9,795,562,286.48 : x
  2. Step 2: Convert to fraction form
    6,980,884,076.53/9,795,562,286.48 = 9,795,562,286.48/x
  3. Step 3: Cross multiply
    6,980,884,076.53x = 9,795,562,286.48 × 9,795,562,286.48
  4. Step 4: Simplify right side
    6,980,884,076.53x = 95,953,040,508,387,639,296
  5. Step 5: Solve for x
    x = 95,953,040,508,387,639,296/6,980,884,076.53
  6. Step 6: Final answer
    x = 13,745,113,005.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.