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Finding the Third Proportional to 41,488,813,334 and 89,270,171,324

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Solution

The third proportional to 41,488,813,334 and 89,270,171,324 is: 192,079,812,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488,813,334 : 89,270,171,324 = 89,270,171,324 : x
  2. Step 2: Convert to fraction form
    41,488,813,334/89,270,171,324 = 89,270,171,324/x
  3. Step 3: Cross multiply
    41,488,813,334x = 89,270,171,324 × 89,270,171,324
  4. Step 4: Simplify right side
    41,488,813,334x = 7,969,163,488,216,311,922,688
  5. Step 5: Solve for x
    x = 7,969,163,488,216,311,922,688/41,488,813,334
  6. Step 6: Final answer
    x = 192,079,812,552.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.