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Finding the Third Proportional to 10,399,585 and 23,189,073

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Solution

The third proportional to 10,399,585 and 23,189,073 is: 51,707,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,585 : 23,189,073 = 23,189,073 : x
  2. Step 2: Convert to fraction form
    10,399,585/23,189,073 = 23,189,073/x
  3. Step 3: Cross multiply
    10,399,585x = 23,189,073 × 23,189,073
  4. Step 4: Simplify right side
    10,399,585x = 537,733,106,599,329
  5. Step 5: Solve for x
    x = 537,733,106,599,329/10,399,585
  6. Step 6: Final answer
    x = 51,707,169.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.