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Finding the Third Proportional to 5,722,381,852 and 7,729,014,798

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Solution

The third proportional to 5,722,381,852 and 7,729,014,798 is: 10,439,301,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722,381,852 : 7,729,014,798 = 7,729,014,798 : x
  2. Step 2: Convert to fraction form
    5,722,381,852/7,729,014,798 = 7,729,014,798/x
  3. Step 3: Cross multiply
    5,722,381,852x = 7,729,014,798 × 7,729,014,798
  4. Step 4: Simplify right side
    5,722,381,852x = 59,737,669,747,702,980,608
  5. Step 5: Solve for x
    x = 59,737,669,747,702,980,608/5,722,381,852
  6. Step 6: Final answer
    x = 10,439,301,551.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.