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Finding the Third Proportional to 182,638,584 and 426,235,932

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Solution

The third proportional to 182,638,584 and 426,235,932 is: 994,735,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,638,584 : 426,235,932 = 426,235,932 : x
  2. Step 2: Convert to fraction form
    182,638,584/426,235,932 = 426,235,932/x
  3. Step 3: Cross multiply
    182,638,584x = 426,235,932 × 426,235,932
  4. Step 4: Simplify right side
    182,638,584x = 181,677,069,727,908,608
  5. Step 5: Solve for x
    x = 181,677,069,727,908,608/182,638,584
  6. Step 6: Final answer
    x = 994,735,426.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.