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Finding the Third Proportional to 194,977,007,016 and 424,568,178,896

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Solution

The third proportional to 194,977,007,016 and 424,568,178,896 is: 924,509,721,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,977,007,016 : 424,568,178,896 = 424,568,178,896 : x
  2. Step 2: Convert to fraction form
    194,977,007,016/424,568,178,896 = 424,568,178,896/x
  3. Step 3: Cross multiply
    194,977,007,016x = 424,568,178,896 × 424,568,178,896
  4. Step 4: Simplify right side
    194,977,007,016x = 180,258,138,531,065,856,262,144
  5. Step 5: Solve for x
    x = 180,258,138,531,065,856,262,144/194,977,007,016
  6. Step 6: Final answer
    x = 924,509,721,888.77

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Why These Related Problems?

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