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Finding the Third Proportional to 10,257,606 and 16,242,669

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Solution

The third proportional to 10,257,606 and 16,242,669 is: 25,719,870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,606 : 16,242,669 = 16,242,669 : x
  2. Step 2: Convert to fraction form
    10,257,606/16,242,669 = 16,242,669/x
  3. Step 3: Cross multiply
    10,257,606x = 16,242,669 × 16,242,669
  4. Step 4: Simplify right side
    10,257,606x = 263,824,296,243,561
  5. Step 5: Solve for x
    x = 263,824,296,243,561/10,257,606
  6. Step 6: Final answer
    x = 25,719,870.33

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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.