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Finding the Third Proportional to 10,257,590 and 16,242,647

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Solution

The third proportional to 10,257,590 and 16,242,647 is: 25,719,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,590 : 16,242,647 = 16,242,647 : x
  2. Step 2: Convert to fraction form
    10,257,590/16,242,647 = 16,242,647/x
  3. Step 3: Cross multiply
    10,257,590x = 16,242,647 × 16,242,647
  4. Step 4: Simplify right side
    10,257,590x = 263,823,581,566,609
  5. Step 5: Solve for x
    x = 263,823,581,566,609/10,257,590
  6. Step 6: Final answer
    x = 25,719,840.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.