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Finding the Third Proportional to 8,503,965 and 13,088,823

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Solution

The third proportional to 8,503,965 and 13,088,823 is: 20,145,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503,965 : 13,088,823 = 13,088,823 : x
  2. Step 2: Convert to fraction form
    8,503,965/13,088,823 = 13,088,823/x
  3. Step 3: Cross multiply
    8,503,965x = 13,088,823 × 13,088,823
  4. Step 4: Simplify right side
    8,503,965x = 171,317,287,525,329
  5. Step 5: Solve for x
    x = 171,317,287,525,329/8,503,965
  6. Step 6: Final answer
    x = 20,145,577.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.