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Finding the Third Proportional to 11,537,824 and 24,620,210

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Solution

The third proportional to 11,537,824 and 24,620,210 is: 52,536,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537,824 : 24,620,210 = 24,620,210 : x
  2. Step 2: Convert to fraction form
    11,537,824/24,620,210 = 24,620,210/x
  3. Step 3: Cross multiply
    11,537,824x = 24,620,210 × 24,620,210
  4. Step 4: Simplify right side
    11,537,824x = 606,154,740,444,100
  5. Step 5: Solve for x
    x = 606,154,740,444,100/11,537,824
  6. Step 6: Final answer
    x = 52,536,313.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.