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Finding the Third Proportional to 9,882,045 and 21,413,610

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Solution

The third proportional to 9,882,045 and 21,413,610 is: 46,401,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882,045 : 21,413,610 = 21,413,610 : x
  2. Step 2: Convert to fraction form
    9,882,045/21,413,610 = 21,413,610/x
  3. Step 3: Cross multiply
    9,882,045x = 21,413,610 × 21,413,610
  4. Step 4: Simplify right side
    9,882,045x = 458,542,693,232,100
  5. Step 5: Solve for x
    x = 458,542,693,232,100/9,882,045
  6. Step 6: Final answer
    x = 46,401,599.39

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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.