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Finding the Third Proportional to 13,863,009 and 30,913,566

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Solution

The third proportional to 13,863,009 and 30,913,566 is: 68,935,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863,009 : 30,913,566 = 30,913,566 : x
  2. Step 2: Convert to fraction form
    13,863,009/30,913,566 = 30,913,566/x
  3. Step 3: Cross multiply
    13,863,009x = 30,913,566 × 30,913,566
  4. Step 4: Simplify right side
    13,863,009x = 955,648,562,836,356
  5. Step 5: Solve for x
    x = 955,648,562,836,356/13,863,009
  6. Step 6: Final answer
    x = 68,935,146.97

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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.