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Finding the Third Proportional to 37,255,734 and 81,437,292

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Solution

The third proportional to 37,255,734 and 81,437,292 is: 178,013,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,255,734 : 81,437,292 = 81,437,292 : x
  2. Step 2: Convert to fraction form
    37,255,734/81,437,292 = 81,437,292/x
  3. Step 3: Cross multiply
    37,255,734x = 81,437,292 × 81,437,292
  4. Step 4: Simplify right side
    37,255,734x = 6,632,032,528,293,264
  5. Step 5: Solve for x
    x = 6,632,032,528,293,264/37,255,734
  6. Step 6: Final answer
    x = 178,013,739.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.