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Finding the Third Proportional to 8,344,485,392 and 17,683,828,344

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Solution

The third proportional to 8,344,485,392 and 17,683,828,344 is: 37,475,982,065.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344,485,392 : 17,683,828,344 = 17,683,828,344 : x
  2. Step 2: Convert to fraction form
    8,344,485,392/17,683,828,344 = 17,683,828,344/x
  3. Step 3: Cross multiply
    8,344,485,392x = 17,683,828,344 × 17,683,828,344
  4. Step 4: Simplify right side
    8,344,485,392x = 312,717,784,900,057,759,744
  5. Step 5: Solve for x
    x = 312,717,784,900,057,759,744/8,344,485,392
  6. Step 6: Final answer
    x = 37,475,982,065.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.