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Finding the Third Proportional to 8,499,434,228 and 18,192,836,946

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Solution

The third proportional to 8,499,434,228 and 18,192,836,946 is: 38,941,335,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499,434,228 : 18,192,836,946 = 18,192,836,946 : x
  2. Step 2: Convert to fraction form
    8,499,434,228/18,192,836,946 = 18,192,836,946/x
  3. Step 3: Cross multiply
    8,499,434,228x = 18,192,836,946 × 18,192,836,946
  4. Step 4: Simplify right side
    8,499,434,228x = 330,979,316,143,742,582,784
  5. Step 5: Solve for x
    x = 330,979,316,143,742,582,784/8,499,434,228
  6. Step 6: Final answer
    x = 38,941,335,065.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.