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Finding the Third Proportional to 120,923,634,683.25 and 261,968,921,019

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Solution

The third proportional to 120,923,634,683.25 and 261,968,921,019 is: 567,529,381,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,923,634,683.25 : 261,968,921,019 = 261,968,921,019 : x
  2. Step 2: Convert to fraction form
    120,923,634,683.25/261,968,921,019 = 261,968,921,019/x
  3. Step 3: Cross multiply
    120,923,634,683.25x = 261,968,921,019 × 261,968,921,019
  4. Step 4: Simplify right side
    120,923,634,683.25x = 68,627,715,579,859,058,032,640
  5. Step 5: Solve for x
    x = 68,627,715,579,859,058,032,640/120,923,634,683.25
  6. Step 6: Final answer
    x = 567,529,381,329.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.