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Finding the Third Proportional to 9,892,393 and 21,476,772

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Solution

The third proportional to 9,892,393 and 21,476,772 is: 46,626,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892,393 : 21,476,772 = 21,476,772 : x
  2. Step 2: Convert to fraction form
    9,892,393/21,476,772 = 21,476,772/x
  3. Step 3: Cross multiply
    9,892,393x = 21,476,772 × 21,476,772
  4. Step 4: Simplify right side
    9,892,393x = 461,251,735,539,984
  5. Step 5: Solve for x
    x = 461,251,735,539,984/9,892,393
  6. Step 6: Final answer
    x = 46,626,911.76

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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.