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Finding the Third Proportional to 30,370,497 and 48,906,503

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Solution

The third proportional to 30,370,497 and 48,906,503 is: 78,755,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370,497 : 48,906,503 = 48,906,503 : x
  2. Step 2: Convert to fraction form
    30,370,497/48,906,503 = 48,906,503/x
  3. Step 3: Cross multiply
    30,370,497x = 48,906,503 × 48,906,503
  4. Step 4: Simplify right side
    30,370,497x = 2,391,846,035,689,009
  5. Step 5: Solve for x
    x = 2,391,846,035,689,009/30,370,497
  6. Step 6: Final answer
    x = 78,755,577.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.