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Finding the Third Proportional to 2,048,830,632 and 4,408,404,156

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Solution

The third proportional to 2,048,830,632 and 4,408,404,156 is: 9,485,423,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,830,632 : 4,408,404,156 = 4,408,404,156 : x
  2. Step 2: Convert to fraction form
    2,048,830,632/4,408,404,156 = 4,408,404,156/x
  3. Step 3: Cross multiply
    2,048,830,632x = 4,408,404,156 × 4,408,404,156
  4. Step 4: Simplify right side
    2,048,830,632x = 19,434,027,202,638,073,856
  5. Step 5: Solve for x
    x = 19,434,027,202,638,073,856/2,048,830,632
  6. Step 6: Final answer
    x = 9,485,423,977.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.