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Finding the Third Proportional to 4,162,007,216 and 9,711,685,780

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Solution

The third proportional to 4,162,007,216 and 9,711,685,780 is: 22,661,383,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162,007,216 : 9,711,685,780 = 9,711,685,780 : x
  2. Step 2: Convert to fraction form
    4,162,007,216/9,711,685,780 = 9,711,685,780/x
  3. Step 3: Cross multiply
    4,162,007,216x = 9,711,685,780 × 9,711,685,780
  4. Step 4: Simplify right side
    4,162,007,216x = 94,316,840,689,454,202,880
  5. Step 5: Solve for x
    x = 94,316,840,689,454,202,880/4,162,007,216
  6. Step 6: Final answer
    x = 22,661,383,268.84

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.