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Finding the Third Proportional to 6,567,178,761 and 10,177,318,971

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Solution

The third proportional to 6,567,178,761 and 10,177,318,971 is: 15,772,042,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567,178,761 : 10,177,318,971 = 10,177,318,971 : x
  2. Step 2: Convert to fraction form
    6,567,178,761/10,177,318,971 = 10,177,318,971/x
  3. Step 3: Cross multiply
    6,567,178,761x = 10,177,318,971 × 10,177,318,971
  4. Step 4: Simplify right side
    6,567,178,761x = 103,577,821,437,476,503,552
  5. Step 5: Solve for x
    x = 103,577,821,437,476,503,552/6,567,178,761
  6. Step 6: Final answer
    x = 15,772,042,334.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.