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Finding the Third Proportional to 52,500,539 and 82,170,304

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Solution

The third proportional to 52,500,539 and 82,170,304 is: 128,607,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500,539 : 82,170,304 = 82,170,304 : x
  2. Step 2: Convert to fraction form
    52,500,539/82,170,304 = 82,170,304/x
  3. Step 3: Cross multiply
    52,500,539x = 82,170,304 × 82,170,304
  4. Step 4: Simplify right side
    52,500,539x = 6,751,958,859,452,416
  5. Step 5: Solve for x
    x = 6,751,958,859,452,416/52,500,539
  6. Step 6: Final answer
    x = 128,607,419.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.