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Finding the Third Proportional to 74,611,938 and 175,878,660

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Solution

The third proportional to 74,611,938 and 175,878,660 is: 414,589,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,611,938 : 175,878,660 = 175,878,660 : x
  2. Step 2: Convert to fraction form
    74,611,938/175,878,660 = 175,878,660/x
  3. Step 3: Cross multiply
    74,611,938x = 175,878,660 × 175,878,660
  4. Step 4: Simplify right side
    74,611,938x = 30,933,303,043,395,600
  5. Step 5: Solve for x
    x = 30,933,303,043,395,600/74,611,938
  6. Step 6: Final answer
    x = 414,589,191.39

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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.