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Finding the Third Proportional to 11,384,884 and 24,587,572

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Solution

The third proportional to 11,384,884 and 24,587,572 is: 53,100,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,884 : 24,587,572 = 24,587,572 : x
  2. Step 2: Convert to fraction form
    11,384,884/24,587,572 = 24,587,572/x
  3. Step 3: Cross multiply
    11,384,884x = 24,587,572 × 24,587,572
  4. Step 4: Simplify right side
    11,384,884x = 604,548,696,855,184
  5. Step 5: Solve for x
    x = 604,548,696,855,184/11,384,884
  6. Step 6: Final answer
    x = 53,100,997.50

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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.