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Finding the Third Proportional to 132,851,322 and 287,537,580

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Solution

The third proportional to 132,851,322 and 287,537,580 is: 622,333,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,851,322 : 287,537,580 = 287,537,580 : x
  2. Step 2: Convert to fraction form
    132,851,322/287,537,580 = 287,537,580/x
  3. Step 3: Cross multiply
    132,851,322x = 287,537,580 × 287,537,580
  4. Step 4: Simplify right side
    132,851,322x = 82,677,859,912,256,400
  5. Step 5: Solve for x
    x = 82,677,859,912,256,400/132,851,322
  6. Step 6: Final answer
    x = 622,333,738.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.