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Finding the Third Proportional to 5,037,289.50 and 7,598,082

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Solution

The third proportional to 5,037,289.50 and 7,598,082 is: 11,460,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037,289.50 : 7,598,082 = 7,598,082 : x
  2. Step 2: Convert to fraction form
    5,037,289.50/7,598,082 = 7,598,082/x
  3. Step 3: Cross multiply
    5,037,289.50x = 7,598,082 × 7,598,082
  4. Step 4: Simplify right side
    5,037,289.50x = 57,730,850,078,724
  5. Step 5: Solve for x
    x = 57,730,850,078,724/5,037,289.50
  6. Step 6: Final answer
    x = 11,460,697.28

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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.