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Finding the Third Proportional to 8,217,888 and 12,824,235

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Solution

The third proportional to 8,217,888 and 12,824,235 is: 20,012,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217,888 : 12,824,235 = 12,824,235 : x
  2. Step 2: Convert to fraction form
    8,217,888/12,824,235 = 12,824,235/x
  3. Step 3: Cross multiply
    8,217,888x = 12,824,235 × 12,824,235
  4. Step 4: Simplify right side
    8,217,888x = 164,461,003,335,225
  5. Step 5: Solve for x
    x = 164,461,003,335,225/8,217,888
  6. Step 6: Final answer
    x = 20,012,563.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.