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Finding the Third Proportional to 1,595,463,766 and 2,450,827,689

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Solution

The third proportional to 1,595,463,766 and 2,450,827,689 is: 3,764,771,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,463,766 : 2,450,827,689 = 2,450,827,689 : x
  2. Step 2: Convert to fraction form
    1,595,463,766/2,450,827,689 = 2,450,827,689/x
  3. Step 3: Cross multiply
    1,595,463,766x = 2,450,827,689 × 2,450,827,689
  4. Step 4: Simplify right side
    1,595,463,766x = 6,006,556,361,169,080,320
  5. Step 5: Solve for x
    x = 6,006,556,361,169,080,320/1,595,463,766
  6. Step 6: Final answer
    x = 3,764,771,403.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.