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Finding the Third Proportional to 898,993,597,195.14 and 2,097,724,216,483

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Solution

The third proportional to 898,993,597,195.14 and 2,097,724,216,483 is: 4,894,858,986,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,993,597,195.14 : 2,097,724,216,483 = 2,097,724,216,483 : x
  2. Step 2: Convert to fraction form
    898,993,597,195.14/2,097,724,216,483 = 2,097,724,216,483/x
  3. Step 3: Cross multiply
    898,993,597,195.14x = 2,097,724,216,483 × 2,097,724,216,483
  4. Step 4: Simplify right side
    898,993,597,195.14x = 4,400,446,888,419,216,477,650,944
  5. Step 5: Solve for x
    x = 4,400,446,888,419,216,477,650,944/898,993,597,195.14
  6. Step 6: Final answer
    x = 4,894,858,986,925.61

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.