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Finding the Third Proportional to 10,657,503 and 23,440,770

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Solution

The third proportional to 10,657,503 and 23,440,770 is: 51,557,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,503 : 23,440,770 = 23,440,770 : x
  2. Step 2: Convert to fraction form
    10,657,503/23,440,770 = 23,440,770/x
  3. Step 3: Cross multiply
    10,657,503x = 23,440,770 × 23,440,770
  4. Step 4: Simplify right side
    10,657,503x = 549,469,698,192,900
  5. Step 5: Solve for x
    x = 549,469,698,192,900/10,657,503
  6. Step 6: Final answer
    x = 51,557,076.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.