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Finding the Third Proportional to 40,362,021 and 86,105,529

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Solution

The third proportional to 40,362,021 and 86,105,529 is: 183,691,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,362,021 : 86,105,529 = 86,105,529 : x
  2. Step 2: Convert to fraction form
    40,362,021/86,105,529 = 86,105,529/x
  3. Step 3: Cross multiply
    40,362,021x = 86,105,529 × 86,105,529
  4. Step 4: Simplify right side
    40,362,021x = 7,414,162,124,369,841
  5. Step 5: Solve for x
    x = 7,414,162,124,369,841/40,362,021
  6. Step 6: Final answer
    x = 183,691,548.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.