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Finding the Third Proportional to 36,043,677 and 74,642,256

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Solution

The third proportional to 36,043,677 and 74,642,256 is: 154,575,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,043,677 : 74,642,256 = 74,642,256 : x
  2. Step 2: Convert to fraction form
    36,043,677/74,642,256 = 74,642,256/x
  3. Step 3: Cross multiply
    36,043,677x = 74,642,256 × 74,642,256
  4. Step 4: Simplify right side
    36,043,677x = 5,571,466,380,769,536
  5. Step 5: Solve for x
    x = 5,571,466,380,769,536/36,043,677
  6. Step 6: Final answer
    x = 154,575,416.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.