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Finding the Third Proportional to 777,090,107.25 and 1,585,395,870.75

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Solution

The third proportional to 777,090,107.25 and 1,585,395,870.75 is: 3,234,476,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,090,107.25 : 1,585,395,870.75 = 1,585,395,870.75 : x
  2. Step 2: Convert to fraction form
    777,090,107.25/1,585,395,870.75 = 1,585,395,870.75/x
  3. Step 3: Cross multiply
    777,090,107.25x = 1,585,395,870.75 × 1,585,395,870.75
  4. Step 4: Simplify right side
    777,090,107.25x = 2,513,480,066,991,150,592
  5. Step 5: Solve for x
    x = 2,513,480,066,991,150,592/777,090,107.25
  6. Step 6: Final answer
    x = 3,234,476,984.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.