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Finding the Third Proportional to 3,694,038,102 and 5,724,741,977

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Solution

The third proportional to 3,694,038,102 and 5,724,741,977 is: 8,871,773,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694,038,102 : 5,724,741,977 = 5,724,741,977 : x
  2. Step 2: Convert to fraction form
    3,694,038,102/5,724,741,977 = 5,724,741,977/x
  3. Step 3: Cross multiply
    3,694,038,102x = 5,724,741,977 × 5,724,741,977
  4. Step 4: Simplify right side
    3,694,038,102x = 32,772,670,703,225,868,288
  5. Step 5: Solve for x
    x = 32,772,670,703,225,868,288/3,694,038,102
  6. Step 6: Final answer
    x = 8,871,773,868.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.