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Finding the Third Proportional to 4,538,972 and 9,834,412

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Solution

The third proportional to 4,538,972 and 9,834,412 is: 21,307,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538,972 : 9,834,412 = 9,834,412 : x
  2. Step 2: Convert to fraction form
    4,538,972/9,834,412 = 9,834,412/x
  3. Step 3: Cross multiply
    4,538,972x = 9,834,412 × 9,834,412
  4. Step 4: Simplify right side
    4,538,972x = 96,715,659,385,744
  5. Step 5: Solve for x
    x = 96,715,659,385,744/4,538,972
  6. Step 6: Final answer
    x = 21,307,833.44

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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.