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Finding the Third Proportional to 19,319,923,524 and 41,741,862,576

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Solution

The third proportional to 19,319,923,524 and 41,741,862,576 is: 90,185,817,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,319,923,524 : 41,741,862,576 = 41,741,862,576 : x
  2. Step 2: Convert to fraction form
    19,319,923,524/41,741,862,576 = 41,741,862,576/x
  3. Step 3: Cross multiply
    19,319,923,524x = 41,741,862,576 × 41,741,862,576
  4. Step 4: Simplify right side
    19,319,923,524x = 1,742,383,091,313,669,308,416
  5. Step 5: Solve for x
    x = 1,742,383,091,313,669,308,416/19,319,923,524
  6. Step 6: Final answer
    x = 90,185,817,203.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.