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Finding the Third Proportional to 4,369,848,849 and 6,388,871,823

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Solution

The third proportional to 4,369,848,849 and 6,388,871,823 is: 9,340,754,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369,848,849 : 6,388,871,823 = 6,388,871,823 : x
  2. Step 2: Convert to fraction form
    4,369,848,849/6,388,871,823 = 6,388,871,823/x
  3. Step 3: Cross multiply
    4,369,848,849x = 6,388,871,823 × 6,388,871,823
  4. Step 4: Simplify right side
    4,369,848,849x = 40,817,683,170,723,340,288
  5. Step 5: Solve for x
    x = 40,817,683,170,723,340,288/4,369,848,849
  6. Step 6: Final answer
    x = 9,340,754,012.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.