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Finding the Third Proportional to 74,575,431 and 175,795,035

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Solution

The third proportional to 74,575,431 and 175,795,035 is: 414,397,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575,431 : 175,795,035 = 175,795,035 : x
  2. Step 2: Convert to fraction form
    74,575,431/175,795,035 = 175,795,035/x
  3. Step 3: Cross multiply
    74,575,431x = 175,795,035 × 175,795,035
  4. Step 4: Simplify right side
    74,575,431x = 30,903,894,330,651,224
  5. Step 5: Solve for x
    x = 30,903,894,330,651,224/74,575,431
  6. Step 6: Final answer
    x = 414,397,797.19

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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.