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Finding the Third Proportional to 10,772,546.50 and 23,038,085

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Solution

The third proportional to 10,772,546.50 and 23,038,085 is: 49,269,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,546.50 : 23,038,085 = 23,038,085 : x
  2. Step 2: Convert to fraction form
    10,772,546.50/23,038,085 = 23,038,085/x
  3. Step 3: Cross multiply
    10,772,546.50x = 23,038,085 × 23,038,085
  4. Step 4: Simplify right side
    10,772,546.50x = 530,753,360,467,225
  5. Step 5: Solve for x
    x = 530,753,360,467,225/10,772,546.50
  6. Step 6: Final answer
    x = 49,269,071.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.