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Finding the Third Proportional to 6,747,159 and 14,692,309

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Solution

The third proportional to 6,747,159 and 14,692,309 is: 31,993,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,159 : 14,692,309 = 14,692,309 : x
  2. Step 2: Convert to fraction form
    6,747,159/14,692,309 = 14,692,309/x
  3. Step 3: Cross multiply
    6,747,159x = 14,692,309 × 14,692,309
  4. Step 4: Simplify right side
    6,747,159x = 215,863,943,751,481
  5. Step 5: Solve for x
    x = 215,863,943,751,481/6,747,159
  6. Step 6: Final answer
    x = 31,993,309.15

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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.