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Finding the Third Proportional to 2,735,340 and 6,331,822.50

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Solution

The third proportional to 2,735,340 and 6,331,822.50 is: 14,657,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,340 : 6,331,822.50 = 6,331,822.50 : x
  2. Step 2: Convert to fraction form
    2,735,340/6,331,822.50 = 6,331,822.50/x
  3. Step 3: Cross multiply
    2,735,340x = 6,331,822.50 × 6,331,822.50
  4. Step 4: Simplify right side
    2,735,340x = 40,091,976,171,506.25
  5. Step 5: Solve for x
    x = 40,091,976,171,506.25/2,735,340
  6. Step 6: Final answer
    x = 14,657,035.75

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.