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Finding the Third Proportional to 426,533,073,338 and 888,370,038,382

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Solution

The third proportional to 426,533,073,338 and 888,370,038,382 is: 1,850,269,942,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,533,073,338 : 888,370,038,382 = 888,370,038,382 : x
  2. Step 2: Convert to fraction form
    426,533,073,338/888,370,038,382 = 888,370,038,382/x
  3. Step 3: Cross multiply
    426,533,073,338x = 888,370,038,382 × 888,370,038,382
  4. Step 4: Simplify right side
    426,533,073,338x = 789,201,325,094,836,088,340,480
  5. Step 5: Solve for x
    x = 789,201,325,094,836,088,340,480/426,533,073,338
  6. Step 6: Final answer
    x = 1,850,269,942,536.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.