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Finding the Third Proportional to 2,341,652,132 and 4,624,082,224

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Solution

The third proportional to 2,341,652,132 and 4,624,082,224 is: 9,131,218,135.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341,652,132 : 4,624,082,224 = 4,624,082,224 : x
  2. Step 2: Convert to fraction form
    2,341,652,132/4,624,082,224 = 4,624,082,224/x
  3. Step 3: Cross multiply
    2,341,652,132x = 4,624,082,224 × 4,624,082,224
  4. Step 4: Simplify right side
    2,341,652,132x = 21,382,136,414,312,787,968
  5. Step 5: Solve for x
    x = 21,382,136,414,312,787,968/2,341,652,132
  6. Step 6: Final answer
    x = 9,131,218,135.31

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.