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Finding the Third Proportional to 80,360,010 and 174,419,382

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Solution

The third proportional to 80,360,010 and 174,419,382 is: 378,572,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,010 : 174,419,382 = 174,419,382 : x
  2. Step 2: Convert to fraction form
    80,360,010/174,419,382 = 174,419,382/x
  3. Step 3: Cross multiply
    80,360,010x = 174,419,382 × 174,419,382
  4. Step 4: Simplify right side
    80,360,010x = 30,422,120,817,261,924
  5. Step 5: Solve for x
    x = 30,422,120,817,261,924/80,360,010
  6. Step 6: Final answer
    x = 378,572,884.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.