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Finding the Third Proportional to 798,117,541,800 and 1,736,735,957,328

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Solution

The third proportional to 798,117,541,800 and 1,736,735,957,328 is: 3,779,207,481,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,117,541,800 : 1,736,735,957,328 = 1,736,735,957,328 : x
  2. Step 2: Convert to fraction form
    798,117,541,800/1,736,735,957,328 = 1,736,735,957,328/x
  3. Step 3: Cross multiply
    798,117,541,800x = 1,736,735,957,328 × 1,736,735,957,328
  4. Step 4: Simplify right side
    798,117,541,800x = 3,016,251,785,476,004,502,306,816
  5. Step 5: Solve for x
    x = 3,016,251,785,476,004,502,306,816/798,117,541,800
  6. Step 6: Final answer
    x = 3,779,207,481,987.47

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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.