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Finding the Third Proportional to 10,745,465.50 and 23,223,035

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Solution

The third proportional to 10,745,465.50 and 23,223,035 is: 50,189,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745,465.50 : 23,223,035 = 23,223,035 : x
  2. Step 2: Convert to fraction form
    10,745,465.50/23,223,035 = 23,223,035/x
  3. Step 3: Cross multiply
    10,745,465.50x = 23,223,035 × 23,223,035
  4. Step 4: Simplify right side
    10,745,465.50x = 539,309,354,611,225
  5. Step 5: Solve for x
    x = 539,309,354,611,225/10,745,465.50
  6. Step 6: Final answer
    x = 50,189,482.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.