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Finding the Third Proportional to 82,290,009 and 112,082,833

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Solution

The third proportional to 82,290,009 and 112,082,833 is: 152,662,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,290,009 : 112,082,833 = 112,082,833 : x
  2. Step 2: Convert to fraction form
    82,290,009/112,082,833 = 112,082,833/x
  3. Step 3: Cross multiply
    82,290,009x = 112,082,833 × 112,082,833
  4. Step 4: Simplify right side
    82,290,009x = 12,562,561,453,305,888
  5. Step 5: Solve for x
    x = 12,562,561,453,305,888/82,290,009
  6. Step 6: Final answer
    x = 152,662,049.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.