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Finding the Third Proportional to 27,523,077 and 43,725,489

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Solution

The third proportional to 27,523,077 and 43,725,489 is: 69,466,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523,077 : 43,725,489 = 43,725,489 : x
  2. Step 2: Convert to fraction form
    27,523,077/43,725,489 = 43,725,489/x
  3. Step 3: Cross multiply
    27,523,077x = 43,725,489 × 43,725,489
  4. Step 4: Simplify right side
    27,523,077x = 1,911,918,388,289,121
  5. Step 5: Solve for x
    x = 1,911,918,388,289,121/27,523,077
  6. Step 6: Final answer
    x = 69,466,011.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.