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Finding the Third Proportional to 4,738,294 and 10,233,138

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Solution

The third proportional to 4,738,294 and 10,233,138 is: 22,100,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,294 : 10,233,138 = 10,233,138 : x
  2. Step 2: Convert to fraction form
    4,738,294/10,233,138 = 10,233,138/x
  3. Step 3: Cross multiply
    4,738,294x = 10,233,138 × 10,233,138
  4. Step 4: Simplify right side
    4,738,294x = 104,717,113,327,044
  5. Step 5: Solve for x
    x = 104,717,113,327,044/4,738,294
  6. Step 6: Final answer
    x = 22,100,172.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.