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Finding the Third Proportional to 6,567,178,754 and 10,177,318,956

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Solution

The third proportional to 6,567,178,754 and 10,177,318,956 is: 15,772,042,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567,178,754 : 10,177,318,956 = 10,177,318,956 : x
  2. Step 2: Convert to fraction form
    6,567,178,754/10,177,318,956 = 10,177,318,956/x
  3. Step 3: Cross multiply
    6,567,178,754x = 10,177,318,956 × 10,177,318,956
  4. Step 4: Simplify right side
    6,567,178,754x = 103,577,821,132,156,928,000
  5. Step 5: Solve for x
    x = 103,577,821,132,156,928,000/6,567,178,754
  6. Step 6: Final answer
    x = 15,772,042,304.93

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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.