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Finding the Third Proportional to 12,186,060,189 and 26,535,505,613

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Solution

The third proportional to 12,186,060,189 and 26,535,505,613 is: 57,781,846,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186,060,189 : 26,535,505,613 = 26,535,505,613 : x
  2. Step 2: Convert to fraction form
    12,186,060,189/26,535,505,613 = 26,535,505,613/x
  3. Step 3: Cross multiply
    12,186,060,189x = 26,535,505,613 × 26,535,505,613
  4. Step 4: Simplify right side
    12,186,060,189x = 704,133,058,137,554,550,784
  5. Step 5: Solve for x
    x = 704,133,058,137,554,550,784/12,186,060,189
  6. Step 6: Final answer
    x = 57,781,846,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.