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Finding the Third Proportional to 5,078,268 and 7,872,046.50

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Solution

The third proportional to 5,078,268 and 7,872,046.50 is: 12,202,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078,268 : 7,872,046.50 = 7,872,046.50 : x
  2. Step 2: Convert to fraction form
    5,078,268/7,872,046.50 = 7,872,046.50/x
  3. Step 3: Cross multiply
    5,078,268x = 7,872,046.50 × 7,872,046.50
  4. Step 4: Simplify right side
    5,078,268x = 61,969,116,098,162.25
  5. Step 5: Solve for x
    x = 61,969,116,098,162.25/5,078,268
  6. Step 6: Final answer
    x = 12,202,805.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.