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Finding the Third Proportional to 5,529,187,212 and 12,185,398,866

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Solution

The third proportional to 5,529,187,212 and 12,185,398,866 is: 26,854,570,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529,187,212 : 12,185,398,866 = 12,185,398,866 : x
  2. Step 2: Convert to fraction form
    5,529,187,212/12,185,398,866 = 12,185,398,866/x
  3. Step 3: Cross multiply
    5,529,187,212x = 12,185,398,866 × 12,185,398,866
  4. Step 4: Simplify right side
    5,529,187,212x = 148,483,945,523,514,081,280
  5. Step 5: Solve for x
    x = 148,483,945,523,514,081,280/5,529,187,212
  6. Step 6: Final answer
    x = 26,854,570,089.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.