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Finding the Third Proportional to 14,355,229.50 and 31,500,516

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Solution

The third proportional to 14,355,229.50 and 31,500,516 is: 69,123,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355,229.50 : 31,500,516 = 31,500,516 : x
  2. Step 2: Convert to fraction form
    14,355,229.50/31,500,516 = 31,500,516/x
  3. Step 3: Cross multiply
    14,355,229.50x = 31,500,516 × 31,500,516
  4. Step 4: Simplify right side
    14,355,229.50x = 992,282,508,266,256
  5. Step 5: Solve for x
    x = 992,282,508,266,256/14,355,229.50
  6. Step 6: Final answer
    x = 69,123,416.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.