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Finding the Third Proportional to 11,358,144 and 24,812,352

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Solution

The third proportional to 11,358,144 and 24,812,352 is: 54,203,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358,144 : 24,812,352 = 24,812,352 : x
  2. Step 2: Convert to fraction form
    11,358,144/24,812,352 = 24,812,352/x
  3. Step 3: Cross multiply
    11,358,144x = 24,812,352 × 24,812,352
  4. Step 4: Simplify right side
    11,358,144x = 615,652,811,771,904
  5. Step 5: Solve for x
    x = 615,652,811,771,904/11,358,144
  6. Step 6: Final answer
    x = 54,203,645.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.