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Finding the Third Proportional to 1,318,369,945 and 2,818,052,509

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Solution

The third proportional to 1,318,369,945 and 2,818,052,509 is: 6,023,665,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,369,945 : 2,818,052,509 = 2,818,052,509 : x
  2. Step 2: Convert to fraction form
    1,318,369,945/2,818,052,509 = 2,818,052,509/x
  3. Step 3: Cross multiply
    1,318,369,945x = 2,818,052,509 × 2,818,052,509
  4. Step 4: Simplify right side
    1,318,369,945x = 7,941,419,943,481,195,520
  5. Step 5: Solve for x
    x = 7,941,419,943,481,195,520/1,318,369,945
  6. Step 6: Final answer
    x = 6,023,665,795.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.