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Finding the Third Proportional to 45,673,982 and 69,957,677

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Solution

The third proportional to 45,673,982 and 69,957,677 is: 107,152,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673,982 : 69,957,677 = 69,957,677 : x
  2. Step 2: Convert to fraction form
    45,673,982/69,957,677 = 69,957,677/x
  3. Step 3: Cross multiply
    45,673,982x = 69,957,677 × 69,957,677
  4. Step 4: Simplify right side
    45,673,982x = 4,894,076,571,236,329
  5. Step 5: Solve for x
    x = 4,894,076,571,236,329/45,673,982
  6. Step 6: Final answer
    x = 107,152,395.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.