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Finding the Third Proportional to 487,933,867 and 743,341,272

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Solution

The third proportional to 487,933,867 and 743,341,272 is: 1,132,440,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,933,867 : 743,341,272 = 743,341,272 : x
  2. Step 2: Convert to fraction form
    487,933,867/743,341,272 = 743,341,272/x
  3. Step 3: Cross multiply
    487,933,867x = 743,341,272 × 743,341,272
  4. Step 4: Simplify right side
    487,933,867x = 552,556,246,658,577,984
  5. Step 5: Solve for x
    x = 552,556,246,658,577,984/487,933,867
  6. Step 6: Final answer
    x = 1,132,440,857.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.