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Finding the Third Proportional to 10,600,474,515 and 15,696,038,006

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Solution

The third proportional to 10,600,474,515 and 15,696,038,006 is: 23,240,998,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,474,515 : 15,696,038,006 = 15,696,038,006 : x
  2. Step 2: Convert to fraction form
    10,600,474,515/15,696,038,006 = 15,696,038,006/x
  3. Step 3: Cross multiply
    10,600,474,515x = 15,696,038,006 × 15,696,038,006
  4. Step 4: Simplify right side
    10,600,474,515x = 246,365,609,085,796,450,304
  5. Step 5: Solve for x
    x = 246,365,609,085,796,450,304/10,600,474,515
  6. Step 6: Final answer
    x = 23,240,998,196.56

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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.