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Finding the Third Proportional to 74,564,400 and 100,741,176

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Solution

The third proportional to 74,564,400 and 100,741,176 is: 136,107,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,564,400 : 100,741,176 = 100,741,176 : x
  2. Step 2: Convert to fraction form
    74,564,400/100,741,176 = 100,741,176/x
  3. Step 3: Cross multiply
    74,564,400x = 100,741,176 × 100,741,176
  4. Step 4: Simplify right side
    74,564,400x = 10,148,784,541,862,976
  5. Step 5: Solve for x
    x = 10,148,784,541,862,976/74,564,400
  6. Step 6: Final answer
    x = 136,107,640.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.