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Finding the Third Proportional to 10,225,810 and 16,279,169

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Solution

The third proportional to 10,225,810 and 16,279,169 is: 25,915,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225,810 : 16,279,169 = 16,279,169 : x
  2. Step 2: Convert to fraction form
    10,225,810/16,279,169 = 16,279,169/x
  3. Step 3: Cross multiply
    10,225,810x = 16,279,169 × 16,279,169
  4. Step 4: Simplify right side
    10,225,810x = 265,011,343,330,561
  5. Step 5: Solve for x
    x = 265,011,343,330,561/10,225,810
  6. Step 6: Final answer
    x = 25,915,926.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.