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Finding the Third Proportional to 7,795,914,678 and 12,797,853,201

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Solution

The third proportional to 7,795,914,678 and 12,797,853,201 is: 21,009,086,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795,914,678 : 12,797,853,201 = 12,797,853,201 : x
  2. Step 2: Convert to fraction form
    7,795,914,678/12,797,853,201 = 12,797,853,201/x
  3. Step 3: Cross multiply
    7,795,914,678x = 12,797,853,201 × 12,797,853,201
  4. Step 4: Simplify right side
    7,795,914,678x = 163,785,046,554,345,930,752
  5. Step 5: Solve for x
    x = 163,785,046,554,345,930,752/7,795,914,678
  6. Step 6: Final answer
    x = 21,009,086,594.62

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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.