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Finding the Third Proportional to 3,068,914.50 and 5,114,641.50

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Solution

The third proportional to 3,068,914.50 and 5,114,641.50 is: 8,524,042.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,914.50 : 5,114,641.50 = 5,114,641.50 : x
  2. Step 2: Convert to fraction form
    3,068,914.50/5,114,641.50 = 5,114,641.50/x
  3. Step 3: Cross multiply
    3,068,914.50x = 5,114,641.50 × 5,114,641.50
  4. Step 4: Simplify right side
    3,068,914.50x = 26,159,557,673,522.25
  5. Step 5: Solve for x
    x = 26,159,557,673,522.25/3,068,914.50
  6. Step 6: Final answer
    x = 8,524,042.52

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.