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Finding the Third Proportional to 1,369,016,544 and 2,988,902,400

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Solution

The third proportional to 1,369,016,544 and 2,988,902,400 is: 6,525,514,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,016,544 : 2,988,902,400 = 2,988,902,400 : x
  2. Step 2: Convert to fraction form
    1,369,016,544/2,988,902,400 = 2,988,902,400/x
  3. Step 3: Cross multiply
    1,369,016,544x = 2,988,902,400 × 2,988,902,400
  4. Step 4: Simplify right side
    1,369,016,544x = 8,933,537,556,725,760,000
  5. Step 5: Solve for x
    x = 8,933,537,556,725,760,000/1,369,016,544
  6. Step 6: Final answer
    x = 6,525,514,681.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.