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Finding the Third Proportional to 80,360,522 and 174,420,430

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Solution

The third proportional to 80,360,522 and 174,420,430 is: 378,575,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,522 : 174,420,430 = 174,420,430 : x
  2. Step 2: Convert to fraction form
    80,360,522/174,420,430 = 174,420,430/x
  3. Step 3: Cross multiply
    80,360,522x = 174,420,430 × 174,420,430
  4. Step 4: Simplify right side
    80,360,522x = 30,422,486,401,384,900
  5. Step 5: Solve for x
    x = 30,422,486,401,384,900/80,360,522
  6. Step 6: Final answer
    x = 378,575,022.22

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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.