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Finding the Third Proportional to 10,262,149 and 22,310,488

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Solution

The third proportional to 10,262,149 and 22,310,488 is: 48,504,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262,149 : 22,310,488 = 22,310,488 : x
  2. Step 2: Convert to fraction form
    10,262,149/22,310,488 = 22,310,488/x
  3. Step 3: Cross multiply
    10,262,149x = 22,310,488 × 22,310,488
  4. Step 4: Simplify right side
    10,262,149x = 497,757,874,798,144
  5. Step 5: Solve for x
    x = 497,757,874,798,144/10,262,149
  6. Step 6: Final answer
    x = 48,504,253.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.