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Finding the Third Proportional to 74,611,946 and 175,878,680

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Solution

The third proportional to 74,611,946 and 175,878,680 is: 414,589,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,611,946 : 175,878,680 = 175,878,680 : x
  2. Step 2: Convert to fraction form
    74,611,946/175,878,680 = 175,878,680/x
  3. Step 3: Cross multiply
    74,611,946x = 175,878,680 × 175,878,680
  4. Step 4: Simplify right side
    74,611,946x = 30,933,310,078,542,400
  5. Step 5: Solve for x
    x = 30,933,310,078,542,400/74,611,946
  6. Step 6: Final answer
    x = 414,589,241.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.