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Finding the Third Proportional to 5,692,909 and 12,396,623

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Solution

The third proportional to 5,692,909 and 12,396,623 is: 26,994,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,909 : 12,396,623 = 12,396,623 : x
  2. Step 2: Convert to fraction form
    5,692,909/12,396,623 = 12,396,623/x
  3. Step 3: Cross multiply
    5,692,909x = 12,396,623 × 12,396,623
  4. Step 4: Simplify right side
    5,692,909x = 153,676,261,804,129
  5. Step 5: Solve for x
    x = 153,676,261,804,129/5,692,909
  6. Step 6: Final answer
    x = 26,994,329.58

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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.