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Finding the Third Proportional to 23,598,931.50 and 51,880,999.50

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Solution

The third proportional to 23,598,931.50 and 51,880,999.50 is: 114,057,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598,931.50 : 51,880,999.50 = 51,880,999.50 : x
  2. Step 2: Convert to fraction form
    23,598,931.50/51,880,999.50 = 51,880,999.50/x
  3. Step 3: Cross multiply
    23,598,931.50x = 51,880,999.50 × 51,880,999.50
  4. Step 4: Simplify right side
    23,598,931.50x = 2,691,638,109,119,000
  5. Step 5: Solve for x
    x = 2,691,638,109,119,000/23,598,931.50
  6. Step 6: Final answer
    x = 114,057,626.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.