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Finding the Third Proportional to 4,538,966 and 9,834,400

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Solution

The third proportional to 4,538,966 and 9,834,400 is: 21,307,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538,966 : 9,834,400 = 9,834,400 : x
  2. Step 2: Convert to fraction form
    4,538,966/9,834,400 = 9,834,400/x
  3. Step 3: Cross multiply
    4,538,966x = 9,834,400 × 9,834,400
  4. Step 4: Simplify right side
    4,538,966x = 96,715,423,360,000
  5. Step 5: Solve for x
    x = 96,715,423,360,000/4,538,966
  6. Step 6: Final answer
    x = 21,307,809.61

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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.