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Finding the Third Proportional to 3,443,638,804,636 and 7,398,324,692,828

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Solution

The third proportional to 3,443,638,804,636 and 7,398,324,692,828 is: 15,894,584,585,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443,638,804,636 : 7,398,324,692,828 = 7,398,324,692,828 : x
  2. Step 2: Convert to fraction form
    3,443,638,804,636/7,398,324,692,828 = 7,398,324,692,828/x
  3. Step 3: Cross multiply
    3,443,638,804,636x = 7,398,324,692,828 × 7,398,324,692,828
  4. Step 4: Simplify right side
    3,443,638,804,636x = 54,735,208,260,508,517,715,148,800
  5. Step 5: Solve for x
    x = 54,735,208,260,508,517,715,148,800/3,443,638,804,636
  6. Step 6: Final answer
    x = 15,894,584,585,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.