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Finding the Third Proportional to 74,611,944 and 175,878,675

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Solution

The third proportional to 74,611,944 and 175,878,675 is: 414,589,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,611,944 : 175,878,675 = 175,878,675 : x
  2. Step 2: Convert to fraction form
    74,611,944/175,878,675 = 175,878,675/x
  3. Step 3: Cross multiply
    74,611,944x = 175,878,675 × 175,878,675
  4. Step 4: Simplify right side
    74,611,944x = 30,933,308,319,755,624
  5. Step 5: Solve for x
    x = 30,933,308,319,755,624/74,611,944
  6. Step 6: Final answer
    x = 414,589,228.77

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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.