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Finding the Third Proportional to 41,583,884,806 and 90,787,922,785

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Solution

The third proportional to 41,583,884,806 and 90,787,922,785 is: 198,212,527,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583,884,806 : 90,787,922,785 = 90,787,922,785 : x
  2. Step 2: Convert to fraction form
    41,583,884,806/90,787,922,785 = 90,787,922,785/x
  3. Step 3: Cross multiply
    41,583,884,806x = 90,787,922,785 × 90,787,922,785
  4. Step 4: Simplify right side
    41,583,884,806x = 8,242,446,923,615,122,227,200
  5. Step 5: Solve for x
    x = 8,242,446,923,615,122,227,200/41,583,884,806
  6. Step 6: Final answer
    x = 198,212,527,811.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.