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Finding the Third Proportional to 1,213,004,576 and 2,619,686,016

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Solution

The third proportional to 1,213,004,576 and 2,619,686,016 is: 5,657,649,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,004,576 : 2,619,686,016 = 2,619,686,016 : x
  2. Step 2: Convert to fraction form
    1,213,004,576/2,619,686,016 = 2,619,686,016/x
  3. Step 3: Cross multiply
    1,213,004,576x = 2,619,686,016 × 2,619,686,016
  4. Step 4: Simplify right side
    1,213,004,576x = 6,862,754,822,425,952,256
  5. Step 5: Solve for x
    x = 6,862,754,822,425,952,256/1,213,004,576
  6. Step 6: Final answer
    x = 5,657,649,573.80

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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.