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Finding the Third Proportional to 65,971,934 and 100,664,241

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Solution

The third proportional to 65,971,934 and 100,664,241 is: 153,600,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971,934 : 100,664,241 = 100,664,241 : x
  2. Step 2: Convert to fraction form
    65,971,934/100,664,241 = 100,664,241/x
  3. Step 3: Cross multiply
    65,971,934x = 100,664,241 × 100,664,241
  4. Step 4: Simplify right side
    65,971,934x = 10,133,289,416,106,080
  5. Step 5: Solve for x
    x = 10,133,289,416,106,080/65,971,934
  6. Step 6: Final answer
    x = 153,600,005.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.