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Finding the Third Proportional to 27,780,512 and 59,827,880

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Solution

The third proportional to 27,780,512 and 59,827,880 is: 128,844,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780,512 : 59,827,880 = 59,827,880 : x
  2. Step 2: Convert to fraction form
    27,780,512/59,827,880 = 59,827,880/x
  3. Step 3: Cross multiply
    27,780,512x = 59,827,880 × 59,827,880
  4. Step 4: Simplify right side
    27,780,512x = 3,579,375,225,294,400
  5. Step 5: Solve for x
    x = 3,579,375,225,294,400/27,780,512
  6. Step 6: Final answer
    x = 128,844,825.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.