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Finding the Third Proportional to 10,616,042.25 and 21,677,675.63

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Solution

The third proportional to 10,616,042.25 and 21,677,675.63 is: 44,265,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616,042.25 : 21,677,675.63 = 21,677,675.63 : x
  2. Step 2: Convert to fraction form
    10,616,042.25/21,677,675.63 = 21,677,675.63/x
  3. Step 3: Cross multiply
    10,616,042.25x = 21,677,675.63 × 21,677,675.63
  4. Step 4: Simplify right side
    10,616,042.25x = 469,921,620,502,719.12
  5. Step 5: Solve for x
    x = 469,921,620,502,719.12/10,616,042.25
  6. Step 6: Final answer
    x = 44,265,236.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.