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Finding the Third Proportional to 39,000,780 and 83,040,408

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Solution

The third proportional to 39,000,780 and 83,040,408 is: 176,809,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000,780 : 83,040,408 = 83,040,408 : x
  2. Step 2: Convert to fraction form
    39,000,780/83,040,408 = 83,040,408/x
  3. Step 3: Cross multiply
    39,000,780x = 83,040,408 × 83,040,408
  4. Step 4: Simplify right side
    39,000,780x = 6,895,709,360,806,464
  5. Step 5: Solve for x
    x = 6,895,709,360,806,464/39,000,780
  6. Step 6: Final answer
    x = 176,809,524.34

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.