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Finding the Third Proportional to 11,384,796 and 24,587,356

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Solution

The third proportional to 11,384,796 and 24,587,356 is: 53,100,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,796 : 24,587,356 = 24,587,356 : x
  2. Step 2: Convert to fraction form
    11,384,796/24,587,356 = 24,587,356/x
  3. Step 3: Cross multiply
    11,384,796x = 24,587,356 × 24,587,356
  4. Step 4: Simplify right side
    11,384,796x = 604,538,075,070,736
  5. Step 5: Solve for x
    x = 604,538,075,070,736/11,384,796
  6. Step 6: Final answer
    x = 53,100,474.97

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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.