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Finding the Third Proportional to 10,109,909 and 22,144,111

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Solution

The third proportional to 10,109,909 and 22,144,111 is: 48,503,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109,909 : 22,144,111 = 22,144,111 : x
  2. Step 2: Convert to fraction form
    10,109,909/22,144,111 = 22,144,111/x
  3. Step 3: Cross multiply
    10,109,909x = 22,144,111 × 22,144,111
  4. Step 4: Simplify right side
    10,109,909x = 490,361,651,980,321
  5. Step 5: Solve for x
    x = 490,361,651,980,321/10,109,909
  6. Step 6: Final answer
    x = 48,503,072.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.