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Finding the Third Proportional to 10,432,896 and 22,121,856

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Solution

The third proportional to 10,432,896 and 22,121,856 is: 46,907,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,896 : 22,121,856 = 22,121,856 : x
  2. Step 2: Convert to fraction form
    10,432,896/22,121,856 = 22,121,856/x
  3. Step 3: Cross multiply
    10,432,896x = 22,121,856 × 22,121,856
  4. Step 4: Simplify right side
    10,432,896x = 489,376,512,884,736
  5. Step 5: Solve for x
    x = 489,376,512,884,736/10,432,896
  6. Step 6: Final answer
    x = 46,907,063.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.