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Finding the Third Proportional to 2,729,510.16 and 5,842,436.34

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Solution

The third proportional to 2,729,510.16 and 5,842,436.34 is: 12,505,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729,510.16 : 5,842,436.34 = 5,842,436.34 : x
  2. Step 2: Convert to fraction form
    2,729,510.16/5,842,436.34 = 5,842,436.34/x
  3. Step 3: Cross multiply
    2,729,510.16x = 5,842,436.34 × 5,842,436.34
  4. Step 4: Simplify right side
    2,729,510.16x = 34,134,062,430,770.87
  5. Step 5: Solve for x
    x = 34,134,062,430,770.87/2,729,510.16
  6. Step 6: Final answer
    x = 12,505,563.44

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