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Finding the Third Proportional to 41,583,884,803.50 and 90,787,922,781

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Solution

The third proportional to 41,583,884,803.50 and 90,787,922,781 is: 198,212,527,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,583,884,803.50 : 90,787,922,781 = 90,787,922,781 : x
  2. Step 2: Convert to fraction form
    41,583,884,803.50/90,787,922,781 = 90,787,922,781/x
  3. Step 3: Cross multiply
    41,583,884,803.50x = 90,787,922,781 × 90,787,922,781
  4. Step 4: Simplify right side
    41,583,884,803.50x = 8,242,446,922,888,818,720,768
  5. Step 5: Solve for x
    x = 8,242,446,922,888,818,720,768/41,583,884,803.50
  6. Step 6: Final answer
    x = 198,212,527,805.85

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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.