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Finding the Third Proportional to 17,277,299,409 and 25,802,732,436

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Solution

The third proportional to 17,277,299,409 and 25,802,732,436 is: 38,535,015,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277,299,409 : 25,802,732,436 = 25,802,732,436 : x
  2. Step 2: Convert to fraction form
    17,277,299,409/25,802,732,436 = 25,802,732,436/x
  3. Step 3: Cross multiply
    17,277,299,409x = 25,802,732,436 × 25,802,732,436
  4. Step 4: Simplify right side
    17,277,299,409x = 665,781,001,163,806,474,240
  5. Step 5: Solve for x
    x = 665,781,001,163,806,474,240/17,277,299,409
  6. Step 6: Final answer
    x = 38,535,015,537.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.