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Finding the Third Proportional to 1,540,143,878 and 3,362,515,651

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Solution

The third proportional to 1,540,143,878 and 3,362,515,651 is: 7,341,204,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,143,878 : 3,362,515,651 = 3,362,515,651 : x
  2. Step 2: Convert to fraction form
    1,540,143,878/3,362,515,651 = 3,362,515,651/x
  3. Step 3: Cross multiply
    1,540,143,878x = 3,362,515,651 × 3,362,515,651
  4. Step 4: Simplify right side
    1,540,143,878x = 11,306,511,503,219,953,664
  5. Step 5: Solve for x
    x = 11,306,511,503,219,953,664/1,540,143,878
  6. Step 6: Final answer
    x = 7,341,204,717.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.