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Finding the Third Proportional to 9,894,503 and 15,136,014

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Solution

The third proportional to 9,894,503 and 15,136,014 is: 23,154,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894,503 : 15,136,014 = 15,136,014 : x
  2. Step 2: Convert to fraction form
    9,894,503/15,136,014 = 15,136,014/x
  3. Step 3: Cross multiply
    9,894,503x = 15,136,014 × 15,136,014
  4. Step 4: Simplify right side
    9,894,503x = 229,098,919,808,196
  5. Step 5: Solve for x
    x = 229,098,919,808,196/9,894,503
  6. Step 6: Final answer
    x = 23,154,161.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.