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Finding the Third Proportional to 174,612,414 and 380,225,556

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Solution

The third proportional to 174,612,414 and 380,225,556 is: 827,956,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612,414 : 380,225,556 = 380,225,556 : x
  2. Step 2: Convert to fraction form
    174,612,414/380,225,556 = 380,225,556/x
  3. Step 3: Cross multiply
    174,612,414x = 380,225,556 × 380,225,556
  4. Step 4: Simplify right side
    174,612,414x = 144,571,473,435,509,120
  5. Step 5: Solve for x
    x = 144,571,473,435,509,120/174,612,414
  6. Step 6: Final answer
    x = 827,956,444.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.