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Finding the Third Proportional to 10,907,194 and 23,729,714

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Solution

The third proportional to 10,907,194 and 23,729,714 is: 51,626,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907,194 : 23,729,714 = 23,729,714 : x
  2. Step 2: Convert to fraction form
    10,907,194/23,729,714 = 23,729,714/x
  3. Step 3: Cross multiply
    10,907,194x = 23,729,714 × 23,729,714
  4. Step 4: Simplify right side
    10,907,194x = 563,099,326,521,796
  5. Step 5: Solve for x
    x = 563,099,326,521,796/10,907,194
  6. Step 6: Final answer
    x = 51,626,415.24

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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.