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Finding the Third Proportional to 897,894,831,161.25 and 1,859,435,589,426.80

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Solution

The third proportional to 897,894,831,161.25 and 1,859,435,589,426.80 is: 3,850,674,479,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,894,831,161.25 : 1,859,435,589,426.80 = 1,859,435,589,426.80 : x
  2. Step 2: Convert to fraction form
    897,894,831,161.25/1,859,435,589,426.80 = 1,859,435,589,426.80/x
  3. Step 3: Cross multiply
    897,894,831,161.25x = 1,859,435,589,426.80 × 1,859,435,589,426.80
  4. Step 4: Simplify right side
    897,894,831,161.25x = 3,457,500,711,226,991,148,269,568
  5. Step 5: Solve for x
    x = 3,457,500,711,226,991,148,269,568/897,894,831,161.25
  6. Step 6: Final answer
    x = 3,850,674,479,053.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.