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Finding the Third Proportional to 4,696,353 and 10,195,758

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Solution

The third proportional to 4,696,353 and 10,195,758 is: 22,134,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696,353 : 10,195,758 = 10,195,758 : x
  2. Step 2: Convert to fraction form
    4,696,353/10,195,758 = 10,195,758/x
  3. Step 3: Cross multiply
    4,696,353x = 10,195,758 × 10,195,758
  4. Step 4: Simplify right side
    4,696,353x = 103,953,481,194,564
  5. Step 5: Solve for x
    x = 103,953,481,194,564/4,696,353
  6. Step 6: Final answer
    x = 22,134,937.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.