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Finding the Third Proportional to 10,638,692 and 16,848,693

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Solution

The third proportional to 10,638,692 and 16,848,693 is: 26,683,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,692 : 16,848,693 = 16,848,693 : x
  2. Step 2: Convert to fraction form
    10,638,692/16,848,693 = 16,848,693/x
  3. Step 3: Cross multiply
    10,638,692x = 16,848,693 × 16,848,693
  4. Step 4: Simplify right side
    10,638,692x = 283,878,455,808,249
  5. Step 5: Solve for x
    x = 283,878,455,808,249/10,638,692
  6. Step 6: Final answer
    x = 26,683,586.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.