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Finding the Third Proportional to 74,186,343 and 113,482,512

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Solution

The third proportional to 74,186,343 and 113,482,512 is: 173,593,683.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,186,343 : 113,482,512 = 113,482,512 : x
  2. Step 2: Convert to fraction form
    74,186,343/113,482,512 = 113,482,512/x
  3. Step 3: Cross multiply
    74,186,343x = 113,482,512 × 113,482,512
  4. Step 4: Simplify right side
    74,186,343x = 12,878,280,529,830,144
  5. Step 5: Solve for x
    x = 12,878,280,529,830,144/74,186,343
  6. Step 6: Final answer
    x = 173,593,683.27

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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.