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Finding the Third Proportional to 1,794,896,668.13 and 2,757,181,047.19

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Solution

The third proportional to 1,794,896,668.13 and 2,757,181,047.19 is: 4,235,367,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794,896,668.13 : 2,757,181,047.19 = 2,757,181,047.19 : x
  2. Step 2: Convert to fraction form
    1,794,896,668.13/2,757,181,047.19 = 2,757,181,047.19/x
  3. Step 3: Cross multiply
    1,794,896,668.13x = 2,757,181,047.19 × 2,757,181,047.19
  4. Step 4: Simplify right side
    1,794,896,668.13x = 7,602,047,326,969,959,424
  5. Step 5: Solve for x
    x = 7,602,047,326,969,959,424/1,794,896,668.13
  6. Step 6: Final answer
    x = 4,235,367,674.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.