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Finding the Third Proportional to 13,862,976 and 30,913,512

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Solution

The third proportional to 13,862,976 and 30,913,512 is: 68,935,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862,976 : 30,913,512 = 30,913,512 : x
  2. Step 2: Convert to fraction form
    13,862,976/30,913,512 = 30,913,512/x
  3. Step 3: Cross multiply
    13,862,976x = 30,913,512 × 30,913,512
  4. Step 4: Simplify right side
    13,862,976x = 955,645,224,174,144
  5. Step 5: Solve for x
    x = 955,645,224,174,144/13,862,976
  6. Step 6: Final answer
    x = 68,935,070.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.