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Finding the Third Proportional to 1,986,028,242 and 4,214,144,469

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Solution

The third proportional to 1,986,028,242 and 4,214,144,469 is: 8,941,974,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986,028,242 : 4,214,144,469 = 4,214,144,469 : x
  2. Step 2: Convert to fraction form
    1,986,028,242/4,214,144,469 = 4,214,144,469/x
  3. Step 3: Cross multiply
    1,986,028,242x = 4,214,144,469 × 4,214,144,469
  4. Step 4: Simplify right side
    1,986,028,242x = 17,759,013,605,603,291,136
  5. Step 5: Solve for x
    x = 17,759,013,605,603,291,136/1,986,028,242
  6. Step 6: Final answer
    x = 8,941,974,353.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.