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Finding the Third Proportional to 16,623,171,222.19 and 25,761,338,609.06

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Solution

The third proportional to 16,623,171,222.19 and 25,761,338,609.06 is: 39,922,982,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,623,171,222.19 : 25,761,338,609.06 = 25,761,338,609.06 : x
  2. Step 2: Convert to fraction form
    16,623,171,222.19/25,761,338,609.06 = 25,761,338,609.06/x
  3. Step 3: Cross multiply
    16,623,171,222.19x = 25,761,338,609.06 × 25,761,338,609.06
  4. Step 4: Simplify right side
    16,623,171,222.19x = 663,646,566,930,748,538,880
  5. Step 5: Solve for x
    x = 663,646,566,930,748,538,880/16,623,171,222.19
  6. Step 6: Final answer
    x = 39,922,982,086.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.