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Finding the Third Proportional to 30,256,880 and 45,416,288

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Solution

The third proportional to 30,256,880 and 45,416,288 is: 68,170,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256,880 : 45,416,288 = 45,416,288 : x
  2. Step 2: Convert to fraction form
    30,256,880/45,416,288 = 45,416,288/x
  3. Step 3: Cross multiply
    30,256,880x = 45,416,288 × 45,416,288
  4. Step 4: Simplify right side
    30,256,880x = 2,062,639,215,698,944
  5. Step 5: Solve for x
    x = 2,062,639,215,698,944/30,256,880
  6. Step 6: Final answer
    x = 68,170,915.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.