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Finding the Third Proportional to 10,367,856 and 22,622,364

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Solution

The third proportional to 10,367,856 and 22,622,364 is: 49,361,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,856 : 22,622,364 = 22,622,364 : x
  2. Step 2: Convert to fraction form
    10,367,856/22,622,364 = 22,622,364/x
  3. Step 3: Cross multiply
    10,367,856x = 22,622,364 × 22,622,364
  4. Step 4: Simplify right side
    10,367,856x = 511,771,352,948,496
  5. Step 5: Solve for x
    x = 511,771,352,948,496/10,367,856
  6. Step 6: Final answer
    x = 49,361,348.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.