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Finding the Third Proportional to 11,197,460 and 24,564,420

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Solution

The third proportional to 11,197,460 and 24,564,420 is: 53,888,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197,460 : 24,564,420 = 24,564,420 : x
  2. Step 2: Convert to fraction form
    11,197,460/24,564,420 = 24,564,420/x
  3. Step 3: Cross multiply
    11,197,460x = 24,564,420 × 24,564,420
  4. Step 4: Simplify right side
    11,197,460x = 603,410,729,936,400
  5. Step 5: Solve for x
    x = 603,410,729,936,400/11,197,460
  6. Step 6: Final answer
    x = 53,888,179.10

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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.