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Finding the Third Proportional to 6,283,517,398 and 9,370,786,167

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Solution

The third proportional to 6,283,517,398 and 9,370,786,167 is: 13,974,916,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,517,398 : 9,370,786,167 = 9,370,786,167 : x
  2. Step 2: Convert to fraction form
    6,283,517,398/9,370,786,167 = 9,370,786,167/x
  3. Step 3: Cross multiply
    6,283,517,398x = 9,370,786,167 × 9,370,786,167
  4. Step 4: Simplify right side
    6,283,517,398x = 87,811,633,387,638,554,624
  5. Step 5: Solve for x
    x = 87,811,633,387,638,554,624/6,283,517,398
  6. Step 6: Final answer
    x = 13,974,916,885.82

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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.