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Finding the Third Proportional to 38,902,020 and 84,653,832

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Solution

The third proportional to 38,902,020 and 84,653,832 is: 184,213,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902,020 : 84,653,832 = 84,653,832 : x
  2. Step 2: Convert to fraction form
    38,902,020/84,653,832 = 84,653,832/x
  3. Step 3: Cross multiply
    38,902,020x = 84,653,832 × 84,653,832
  4. Step 4: Simplify right side
    38,902,020x = 7,166,271,272,284,224
  5. Step 5: Solve for x
    x = 7,166,271,272,284,224/38,902,020
  6. Step 6: Final answer
    x = 184,213,346.05

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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.