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Finding the Third Proportional to 10,436,680.09 and 21,153,842.93

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Solution

The third proportional to 10,436,680.09 and 21,153,842.93 is: 42,876,189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436,680.09 : 21,153,842.93 = 21,153,842.93 : x
  2. Step 2: Convert to fraction form
    10,436,680.09/21,153,842.93 = 21,153,842.93/x
  3. Step 3: Cross multiply
    10,436,680.09x = 21,153,842.93 × 21,153,842.93
  4. Step 4: Simplify right side
    10,436,680.09x = 447,485,070,693,910.94
  5. Step 5: Solve for x
    x = 447,485,070,693,910.94/10,436,680.09
  6. Step 6: Final answer
    x = 42,876,189.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.