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Finding the Third Proportional to 113,350,353,174 and 262,413,015,543

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Solution

The third proportional to 113,350,353,174 and 262,413,015,543 is: 607,502,215,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,350,353,174 : 262,413,015,543 = 262,413,015,543 : x
  2. Step 2: Convert to fraction form
    113,350,353,174/262,413,015,543 = 262,413,015,543/x
  3. Step 3: Cross multiply
    113,350,353,174x = 262,413,015,543 × 262,413,015,543
  4. Step 4: Simplify right side
    113,350,353,174x = 68,860,590,726,370,759,278,592
  5. Step 5: Solve for x
    x = 68,860,590,726,370,759,278,592/113,350,353,174
  6. Step 6: Final answer
    x = 607,502,215,901.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.