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Finding the Third Proportional to 10,638,672.75 and 16,848,664.88

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Solution

The third proportional to 10,638,672.75 and 16,848,664.88 is: 26,683,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,672.75 : 16,848,664.88 = 16,848,664.88 : x
  2. Step 2: Convert to fraction form
    10,638,672.75/16,848,664.88 = 16,848,664.88/x
  3. Step 3: Cross multiply
    10,638,672.75x = 16,848,664.88 × 16,848,664.88
  4. Step 4: Simplify right side
    10,638,672.75x = 283,877,508,070,058.75
  5. Step 5: Solve for x
    x = 283,877,508,070,058.75/10,638,672.75
  6. Step 6: Final answer
    x = 26,683,545.47

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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.