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Finding the Third Proportional to 30,180,645 and 65,375,182

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Solution

The third proportional to 30,180,645 and 65,375,182 is: 141,611,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180,645 : 65,375,182 = 65,375,182 : x
  2. Step 2: Convert to fraction form
    30,180,645/65,375,182 = 65,375,182/x
  3. Step 3: Cross multiply
    30,180,645x = 65,375,182 × 65,375,182
  4. Step 4: Simplify right side
    30,180,645x = 4,273,914,421,533,124
  5. Step 5: Solve for x
    x = 4,273,914,421,533,124/30,180,645
  6. Step 6: Final answer
    x = 141,611,102.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.