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Finding the Third Proportional to 7,588,224 and 17,912,448

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Solution

The third proportional to 7,588,224 and 17,912,448 is: 42,283,384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588,224 : 17,912,448 = 17,912,448 : x
  2. Step 2: Convert to fraction form
    7,588,224/17,912,448 = 17,912,448/x
  3. Step 3: Cross multiply
    7,588,224x = 17,912,448 × 17,912,448
  4. Step 4: Simplify right side
    7,588,224x = 320,855,793,352,704
  5. Step 5: Solve for x
    x = 320,855,793,352,704/7,588,224
  6. Step 6: Final answer
    x = 42,283,384.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.