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Finding the Third Proportional to 12,380,065 and 29,129,770

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Solution

The third proportional to 12,380,065 and 29,129,770 is: 68,541,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380,065 : 29,129,770 = 29,129,770 : x
  2. Step 2: Convert to fraction form
    12,380,065/29,129,770 = 29,129,770/x
  3. Step 3: Cross multiply
    12,380,065x = 29,129,770 × 29,129,770
  4. Step 4: Simplify right side
    12,380,065x = 848,543,500,252,900
  5. Step 5: Solve for x
    x = 848,543,500,252,900/12,380,065
  6. Step 6: Final answer
    x = 68,541,118.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.