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Finding the Third Proportional to 494,787,626 and 977,086,028

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Solution

The third proportional to 494,787,626 and 977,086,028 is: 1,929,508,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,787,626 : 977,086,028 = 977,086,028 : x
  2. Step 2: Convert to fraction form
    494,787,626/977,086,028 = 977,086,028/x
  3. Step 3: Cross multiply
    494,787,626x = 977,086,028 × 977,086,028
  4. Step 4: Simplify right side
    494,787,626x = 954,697,106,112,816,768
  5. Step 5: Solve for x
    x = 954,697,106,112,816,768/494,787,626
  6. Step 6: Final answer
    x = 1,929,508,855.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.