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Finding the Third Proportional to 1,268,382,468 and 1,940,483,155.50

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Solution

The third proportional to 1,268,382,468 and 1,940,483,155.50 is: 2,968,721,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,382,468 : 1,940,483,155.50 = 1,940,483,155.50 : x
  2. Step 2: Convert to fraction form
    1,268,382,468/1,940,483,155.50 = 1,940,483,155.50/x
  3. Step 3: Cross multiply
    1,268,382,468x = 1,940,483,155.50 × 1,940,483,155.50
  4. Step 4: Simplify right side
    1,268,382,468x = 3,765,474,876,779,237,376
  5. Step 5: Solve for x
    x = 3,765,474,876,779,237,376/1,268,382,468
  6. Step 6: Final answer
    x = 2,968,721,952.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.