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Finding the Third Proportional to 10,225,929 and 16,279,323

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Solution

The third proportional to 10,225,929 and 16,279,323 is: 25,916,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225,929 : 16,279,323 = 16,279,323 : x
  2. Step 2: Convert to fraction form
    10,225,929/16,279,323 = 16,279,323/x
  3. Step 3: Cross multiply
    10,225,929x = 16,279,323 × 16,279,323
  4. Step 4: Simplify right side
    10,225,929x = 265,016,357,338,329
  5. Step 5: Solve for x
    x = 265,016,357,338,329/10,225,929
  6. Step 6: Final answer
    x = 25,916,115.53

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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.