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Finding the Third Proportional to 10,638,684 and 16,848,681

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Solution

The third proportional to 10,638,684 and 16,848,681 is: 26,683,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,684 : 16,848,681 = 16,848,681 : x
  2. Step 2: Convert to fraction form
    10,638,684/16,848,681 = 16,848,681/x
  3. Step 3: Cross multiply
    10,638,684x = 16,848,681 × 16,848,681
  4. Step 4: Simplify right side
    10,638,684x = 283,878,051,439,761
  5. Step 5: Solve for x
    x = 283,878,051,439,761/10,638,684
  6. Step 6: Final answer
    x = 26,683,568.33

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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.