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Finding the Third Proportional to 4,279,947,700 and 8,680,237,784

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Solution

The third proportional to 4,279,947,700 and 8,680,237,784 is: 17,604,544,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279,947,700 : 8,680,237,784 = 8,680,237,784 : x
  2. Step 2: Convert to fraction form
    4,279,947,700/8,680,237,784 = 8,680,237,784/x
  3. Step 3: Cross multiply
    4,279,947,700x = 8,680,237,784 × 8,680,237,784
  4. Step 4: Simplify right side
    4,279,947,700x = 75,346,527,986,781,224,960
  5. Step 5: Solve for x
    x = 75,346,527,986,781,224,960/4,279,947,700
  6. Step 6: Final answer
    x = 17,604,544,089.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.