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Finding the Third Proportional to 11,633,672 and 24,884,752

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Solution

The third proportional to 11,633,672 and 24,884,752 is: 53,229,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633,672 : 24,884,752 = 24,884,752 : x
  2. Step 2: Convert to fraction form
    11,633,672/24,884,752 = 24,884,752/x
  3. Step 3: Cross multiply
    11,633,672x = 24,884,752 × 24,884,752
  4. Step 4: Simplify right side
    11,633,672x = 619,250,882,101,504
  5. Step 5: Solve for x
    x = 619,250,882,101,504/11,633,672
  6. Step 6: Final answer
    x = 53,229,185.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.