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Finding the Third Proportional to 10,081,650,740 and 14,564,990,242

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Solution

The third proportional to 10,081,650,740 and 14,564,990,242 is: 21,042,083,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081,650,740 : 14,564,990,242 = 14,564,990,242 : x
  2. Step 2: Convert to fraction form
    10,081,650,740/14,564,990,242 = 14,564,990,242/x
  3. Step 3: Cross multiply
    10,081,650,740x = 14,564,990,242 × 14,564,990,242
  4. Step 4: Simplify right side
    10,081,650,740x = 212,138,940,749,555,204,096
  5. Step 5: Solve for x
    x = 212,138,940,749,555,204,096/10,081,650,740
  6. Step 6: Final answer
    x = 21,042,083,902.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.