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Finding the Third Proportional to 724,369,050 and 1,571,235,120

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Solution

The third proportional to 724,369,050 and 1,571,235,120 is: 3,408,179,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,369,050 : 1,571,235,120 = 1,571,235,120 : x
  2. Step 2: Convert to fraction form
    724,369,050/1,571,235,120 = 1,571,235,120/x
  3. Step 3: Cross multiply
    724,369,050x = 1,571,235,120 × 1,571,235,120
  4. Step 4: Simplify right side
    724,369,050x = 2,468,779,802,321,414,144
  5. Step 5: Solve for x
    x = 2,468,779,802,321,414,144/724,369,050
  6. Step 6: Final answer
    x = 3,408,179,576.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.