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Finding the Third Proportional to 7,795,914,672 and 12,797,853,192

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Solution

The third proportional to 7,795,914,672 and 12,797,853,192 is: 21,009,086,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795,914,672 : 12,797,853,192 = 12,797,853,192 : x
  2. Step 2: Convert to fraction form
    7,795,914,672/12,797,853,192 = 12,797,853,192/x
  3. Step 3: Cross multiply
    7,795,914,672x = 12,797,853,192 × 12,797,853,192
  4. Step 4: Simplify right side
    7,795,914,672x = 163,785,046,323,984,596,992
  5. Step 5: Solve for x
    x = 163,785,046,323,984,596,992/7,795,914,672
  6. Step 6: Final answer
    x = 21,009,086,581.24

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.