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Finding the Third Proportional to 1,196,227,020,171 and 2,573,883,957,012

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Solution

The third proportional to 1,196,227,020,171 and 2,573,883,957,012 is: 5,538,144,944,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,227,020,171 : 2,573,883,957,012 = 2,573,883,957,012 : x
  2. Step 2: Convert to fraction form
    1,196,227,020,171/2,573,883,957,012 = 2,573,883,957,012/x
  3. Step 3: Cross multiply
    1,196,227,020,171x = 2,573,883,957,012 × 2,573,883,957,012
  4. Step 4: Simplify right side
    1,196,227,020,171x = 6,624,878,624,163,751,385,890,816
  5. Step 5: Solve for x
    x = 6,624,878,624,163,751,385,890,816/1,196,227,020,171
  6. Step 6: Final answer
    x = 5,538,144,944,441.01

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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.