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Finding the Third Proportional to 12,187,866,951 and 17,163,202,383

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Solution

The third proportional to 12,187,866,951 and 17,163,202,383 is: 24,169,571,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,866,951 : 17,163,202,383 = 17,163,202,383 : x
  2. Step 2: Convert to fraction form
    12,187,866,951/17,163,202,383 = 17,163,202,383/x
  3. Step 3: Cross multiply
    12,187,866,951x = 17,163,202,383 × 17,163,202,383
  4. Step 4: Simplify right side
    12,187,866,951x = 294,575,516,039,816,871,936
  5. Step 5: Solve for x
    x = 294,575,516,039,816,871,936/12,187,866,951
  6. Step 6: Final answer
    x = 24,169,571,035.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.