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Finding the Third Proportional to 65,512,005 and 102,760,105

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Solution

The third proportional to 65,512,005 and 102,760,105 is: 161,186,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512,005 : 102,760,105 = 102,760,105 : x
  2. Step 2: Convert to fraction form
    65,512,005/102,760,105 = 102,760,105/x
  3. Step 3: Cross multiply
    65,512,005x = 102,760,105 × 102,760,105
  4. Step 4: Simplify right side
    65,512,005x = 10,559,639,179,611,024
  5. Step 5: Solve for x
    x = 10,559,639,179,611,024/65,512,005
  6. Step 6: Final answer
    x = 161,186,322.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.