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Finding the Third Proportional to 76,607,924 and 170,221,744

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Solution

The third proportional to 76,607,924 and 170,221,744 is: 378,230,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,607,924 : 170,221,744 = 170,221,744 : x
  2. Step 2: Convert to fraction form
    76,607,924/170,221,744 = 170,221,744/x
  3. Step 3: Cross multiply
    76,607,924x = 170,221,744 × 170,221,744
  4. Step 4: Simplify right side
    76,607,924x = 28,975,442,130,401,536
  5. Step 5: Solve for x
    x = 28,975,442,130,401,536/76,607,924
  6. Step 6: Final answer
    x = 378,230,352.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.