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Finding the Third Proportional to 38,286,020 and 84,010,999

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Solution

The third proportional to 38,286,020 and 84,010,999 is: 184,345,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286,020 : 84,010,999 = 84,010,999 : x
  2. Step 2: Convert to fraction form
    38,286,020/84,010,999 = 84,010,999/x
  3. Step 3: Cross multiply
    38,286,020x = 84,010,999 × 84,010,999
  4. Step 4: Simplify right side
    38,286,020x = 7,057,847,952,978,001
  5. Step 5: Solve for x
    x = 7,057,847,952,978,001/38,286,020
  6. Step 6: Final answer
    x = 184,345,302.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.