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Finding the Third Proportional to 65,077,912 and 86,368,032

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Solution

The third proportional to 65,077,912 and 86,368,032 is: 114,623,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077,912 : 86,368,032 = 86,368,032 : x
  2. Step 2: Convert to fraction form
    65,077,912/86,368,032 = 86,368,032/x
  3. Step 3: Cross multiply
    65,077,912x = 86,368,032 × 86,368,032
  4. Step 4: Simplify right side
    65,077,912x = 7,459,436,951,553,024
  5. Step 5: Solve for x
    x = 7,459,436,951,553,024/65,077,912
  6. Step 6: Final answer
    x = 114,623,175.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.