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Finding the Third Proportional to 9,476,709 and 13,859,649

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Solution

The third proportional to 9,476,709 and 13,859,649 is: 20,269,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,709 : 13,859,649 = 13,859,649 : x
  2. Step 2: Convert to fraction form
    9,476,709/13,859,649 = 13,859,649/x
  3. Step 3: Cross multiply
    9,476,709x = 13,859,649 × 13,859,649
  4. Step 4: Simplify right side
    9,476,709x = 192,089,870,403,201
  5. Step 5: Solve for x
    x = 192,089,870,403,201/9,476,709
  6. Step 6: Final answer
    x = 20,269,681.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.