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Finding the Third Proportional to 63,771,088,971 and 137,006,012,823

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Solution

The third proportional to 63,771,088,971 and 137,006,012,823 is: 294,344,158,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,771,088,971 : 137,006,012,823 = 137,006,012,823 : x
  2. Step 2: Convert to fraction form
    63,771,088,971/137,006,012,823 = 137,006,012,823/x
  3. Step 3: Cross multiply
    63,771,088,971x = 137,006,012,823 × 137,006,012,823
  4. Step 4: Simplify right side
    63,771,088,971x = 18,770,647,549,656,040,472,576
  5. Step 5: Solve for x
    x = 18,770,647,549,656,040,472,576/63,771,088,971
  6. Step 6: Final answer
    x = 294,344,158,968.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.