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Finding the Third Proportional to 1,798,300,104,267.60 and 3,883,218,057,234.60

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Solution

The third proportional to 1,798,300,104,267.60 and 3,883,218,057,234.60 is: 8,385,353,726,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798,300,104,267.60 : 3,883,218,057,234.60 = 3,883,218,057,234.60 : x
  2. Step 2: Convert to fraction form
    1,798,300,104,267.60/3,883,218,057,234.60 = 3,883,218,057,234.60/x
  3. Step 3: Cross multiply
    1,798,300,104,267.60x = 3,883,218,057,234.60 × 3,883,218,057,234.60
  4. Step 4: Simplify right side
    1,798,300,104,267.60x = 15,079,382,480,032,861,368,877,056
  5. Step 5: Solve for x
    x = 15,079,382,480,032,861,368,877,056/1,798,300,104,267.60
  6. Step 6: Final answer
    x = 8,385,353,726,136.99

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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.