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Finding the Third Proportional to 76,653,139,741.25 and 166,803,947,758

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Solution

The third proportional to 76,653,139,741.25 and 166,803,947,758 is: 362,980,004,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653,139,741.25 : 166,803,947,758 = 166,803,947,758 : x
  2. Step 2: Convert to fraction form
    76,653,139,741.25/166,803,947,758 = 166,803,947,758/x
  3. Step 3: Cross multiply
    76,653,139,741.25x = 166,803,947,758 × 166,803,947,758
  4. Step 4: Simplify right side
    76,653,139,741.25x = 27,823,556,987,653,592,186,880
  5. Step 5: Solve for x
    x = 27,823,556,987,653,592,186,880/76,653,139,741.25
  6. Step 6: Final answer
    x = 362,980,004,231.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.