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Finding the Third Proportional to 1,297,479,328 and 2,686,939,016

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Solution

The third proportional to 1,297,479,328 and 2,686,939,016 is: 5,564,359,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,479,328 : 2,686,939,016 = 2,686,939,016 : x
  2. Step 2: Convert to fraction form
    1,297,479,328/2,686,939,016 = 2,686,939,016/x
  3. Step 3: Cross multiply
    1,297,479,328x = 2,686,939,016 × 2,686,939,016
  4. Step 4: Simplify right side
    1,297,479,328x = 7,219,641,275,703,048,192
  5. Step 5: Solve for x
    x = 7,219,641,275,703,048,192/1,297,479,328
  6. Step 6: Final answer
    x = 5,564,359,385.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.