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Finding the Third Proportional to 49,430,979 and 107,649,648

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Solution

The third proportional to 49,430,979 and 107,649,648 is: 234,436,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430,979 : 107,649,648 = 107,649,648 : x
  2. Step 2: Convert to fraction form
    49,430,979/107,649,648 = 107,649,648/x
  3. Step 3: Cross multiply
    49,430,979x = 107,649,648 × 107,649,648
  4. Step 4: Simplify right side
    49,430,979x = 11,588,446,714,523,904
  5. Step 5: Solve for x
    x = 11,588,446,714,523,904/49,430,979
  6. Step 6: Final answer
    x = 234,436,924.96

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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.