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Finding the Third Proportional to 10,600,474,517 and 15,696,038,009

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Solution

The third proportional to 10,600,474,517 and 15,696,038,009 is: 23,240,998,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,474,517 : 15,696,038,009 = 15,696,038,009 : x
  2. Step 2: Convert to fraction form
    10,600,474,517/15,696,038,009 = 15,696,038,009/x
  3. Step 3: Cross multiply
    10,600,474,517x = 15,696,038,009 × 15,696,038,009
  4. Step 4: Simplify right side
    10,600,474,517x = 246,365,609,179,972,698,112
  5. Step 5: Solve for x
    x = 246,365,609,179,972,698,112/10,600,474,517
  6. Step 6: Final answer
    x = 23,240,998,201.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.