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Finding the Third Proportional to 10,638,698 and 16,848,708

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Solution

The third proportional to 10,638,698 and 16,848,708 is: 26,683,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,698 : 16,848,708 = 16,848,708 : x
  2. Step 2: Convert to fraction form
    10,638,698/16,848,708 = 16,848,708/x
  3. Step 3: Cross multiply
    10,638,698x = 16,848,708 × 16,848,708
  4. Step 4: Simplify right side
    10,638,698x = 283,878,961,269,264
  5. Step 5: Solve for x
    x = 283,878,961,269,264/10,638,698
  6. Step 6: Final answer
    x = 26,683,618.74

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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.