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Finding the Third Proportional to 10,683,999 and 16,553,781

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Solution

The third proportional to 10,683,999 and 16,553,781 is: 25,648,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683,999 : 16,553,781 = 16,553,781 : x
  2. Step 2: Convert to fraction form
    10,683,999/16,553,781 = 16,553,781/x
  3. Step 3: Cross multiply
    10,683,999x = 16,553,781 × 16,553,781
  4. Step 4: Simplify right side
    10,683,999x = 274,027,665,395,961
  5. Step 5: Solve for x
    x = 274,027,665,395,961/10,683,999
  6. Step 6: Final answer
    x = 25,648,417.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.