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Finding the Third Proportional to 2,048,830,648 and 4,408,404,187

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Solution

The third proportional to 2,048,830,648 and 4,408,404,187 is: 9,485,424,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,830,648 : 4,408,404,187 = 4,408,404,187 : x
  2. Step 2: Convert to fraction form
    2,048,830,648/4,408,404,187 = 4,408,404,187/x
  3. Step 3: Cross multiply
    2,048,830,648x = 4,408,404,187 × 4,408,404,187
  4. Step 4: Simplify right side
    2,048,830,648x = 19,434,027,475,959,132,160
  5. Step 5: Solve for x
    x = 19,434,027,475,959,132,160/2,048,830,648
  6. Step 6: Final answer
    x = 9,485,424,036.84

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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.