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Finding the Third Proportional to 10,683,291 and 21,744,129

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Solution

The third proportional to 10,683,291 and 21,744,129 is: 44,256,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,291 : 21,744,129 = 21,744,129 : x
  2. Step 2: Convert to fraction form
    10,683,291/21,744,129 = 21,744,129/x
  3. Step 3: Cross multiply
    10,683,291x = 21,744,129 × 21,744,129
  4. Step 4: Simplify right side
    10,683,291x = 472,807,145,968,641
  5. Step 5: Solve for x
    x = 472,807,145,968,641/10,683,291
  6. Step 6: Final answer
    x = 44,256,694.49

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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.