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Finding the Third Proportional to 12,187,867,184 and 17,163,202,710

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Solution

The third proportional to 12,187,867,184 and 17,163,202,710 is: 24,169,571,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,867,184 : 17,163,202,710 = 17,163,202,710 : x
  2. Step 2: Convert to fraction form
    12,187,867,184/17,163,202,710 = 17,163,202,710/x
  3. Step 3: Cross multiply
    12,187,867,184x = 17,163,202,710 × 17,163,202,710
  4. Step 4: Simplify right side
    12,187,867,184x = 294,575,527,264,551,337,984
  5. Step 5: Solve for x
    x = 294,575,527,264,551,337,984/12,187,867,184
  6. Step 6: Final answer
    x = 24,169,571,494.12

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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.