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Finding the Third Proportional to 3,443,638,804,632 and 7,398,324,692,820

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Solution

The third proportional to 3,443,638,804,632 and 7,398,324,692,820 is: 15,894,584,584,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443,638,804,632 : 7,398,324,692,820 = 7,398,324,692,820 : x
  2. Step 2: Convert to fraction form
    3,443,638,804,632/7,398,324,692,820 = 7,398,324,692,820/x
  3. Step 3: Cross multiply
    3,443,638,804,632x = 7,398,324,692,820 × 7,398,324,692,820
  4. Step 4: Simplify right side
    3,443,638,804,632x = 54,735,208,260,390,148,416,471,040
  5. Step 5: Solve for x
    x = 54,735,208,260,390,148,416,471,040/3,443,638,804,632
  6. Step 6: Final answer
    x = 15,894,584,584,993.77

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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.