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Finding the Third Proportional to 923,438,705,670 and 1,985,851,761,174

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Solution

The third proportional to 923,438,705,670 and 1,985,851,761,174 is: 4,270,567,383,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,438,705,670 : 1,985,851,761,174 = 1,985,851,761,174 : x
  2. Step 2: Convert to fraction form
    923,438,705,670/1,985,851,761,174 = 1,985,851,761,174/x
  3. Step 3: Cross multiply
    923,438,705,670x = 1,985,851,761,174 × 1,985,851,761,174
  4. Step 4: Simplify right side
    923,438,705,670x = 3,943,607,217,357,877,533,474,816
  5. Step 5: Solve for x
    x = 3,943,607,217,357,877,533,474,816/923,438,705,670
  6. Step 6: Final answer
    x = 4,270,567,383,783.85

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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.