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Finding the Third Proportional to 923,438,705,680 and 1,985,851,761,200

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Solution

The third proportional to 923,438,705,680 and 1,985,851,761,200 is: 4,270,567,383,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,438,705,680 : 1,985,851,761,200 = 1,985,851,761,200 : x
  2. Step 2: Convert to fraction form
    923,438,705,680/1,985,851,761,200 = 1,985,851,761,200/x
  3. Step 3: Cross multiply
    923,438,705,680x = 1,985,851,761,200 × 1,985,851,761,200
  4. Step 4: Simplify right side
    923,438,705,680x = 3,943,607,217,461,141,969,043,456
  5. Step 5: Solve for x
    x = 3,943,607,217,461,141,969,043,456/923,438,705,680
  6. Step 6: Final answer
    x = 4,270,567,383,849.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.