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Finding the Third Proportional to 1,664,923,662,798 and 2,649,220,845,099

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Solution

The third proportional to 1,664,923,662,798 and 2,649,220,845,099 is: 4,215,431,159,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,923,662,798 : 2,649,220,845,099 = 2,649,220,845,099 : x
  2. Step 2: Convert to fraction form
    1,664,923,662,798/2,649,220,845,099 = 2,649,220,845,099/x
  3. Step 3: Cross multiply
    1,664,923,662,798x = 2,649,220,845,099 × 2,649,220,845,099
  4. Step 4: Simplify right side
    1,664,923,662,798x = 7,018,371,086,107,059,595,247,616
  5. Step 5: Solve for x
    x = 7,018,371,086,107,059,595,247,616/1,664,923,662,798
  6. Step 6: Final answer
    x = 4,215,431,159,355.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.