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Finding the Third Proportional to 31,971,164 and 69,318,973

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Solution

The third proportional to 31,971,164 and 69,318,973 is: 150,295,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971,164 : 69,318,973 = 69,318,973 : x
  2. Step 2: Convert to fraction form
    31,971,164/69,318,973 = 69,318,973/x
  3. Step 3: Cross multiply
    31,971,164x = 69,318,973 × 69,318,973
  4. Step 4: Simplify right side
    31,971,164x = 4,805,120,017,774,729
  5. Step 5: Solve for x
    x = 4,805,120,017,774,729/31,971,164
  6. Step 6: Final answer
    x = 150,295,435.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.