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Finding the Third Proportional to 5,037,286.50 and 7,598,077.50

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Solution

The third proportional to 5,037,286.50 and 7,598,077.50 is: 11,460,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037,286.50 : 7,598,077.50 = 7,598,077.50 : x
  2. Step 2: Convert to fraction form
    5,037,286.50/7,598,077.50 = 7,598,077.50/x
  3. Step 3: Cross multiply
    5,037,286.50x = 7,598,077.50 × 7,598,077.50
  4. Step 4: Simplify right side
    5,037,286.50x = 57,730,781,696,006.25
  5. Step 5: Solve for x
    x = 57,730,781,696,006.25/5,037,286.50
  6. Step 6: Final answer
    x = 11,460,690.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.