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Finding the Third Proportional to 923,438,705,694 and 1,985,851,761,228

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Solution

The third proportional to 923,438,705,694 and 1,985,851,761,228 is: 4,270,567,383,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,438,705,694 : 1,985,851,761,228 = 1,985,851,761,228 : x
  2. Step 2: Convert to fraction form
    923,438,705,694/1,985,851,761,228 = 1,985,851,761,228/x
  3. Step 3: Cross multiply
    923,438,705,694x = 1,985,851,761,228 × 1,985,851,761,228
  4. Step 4: Simplify right side
    923,438,705,694x = 3,943,607,217,572,349,409,755,136
  5. Step 5: Solve for x
    x = 3,943,607,217,572,349,409,755,136/923,438,705,694
  6. Step 6: Final answer
    x = 4,270,567,383,905.11

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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.