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Finding the Third Proportional to 9,882,051 and 21,413,622

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Solution

The third proportional to 9,882,051 and 21,413,622 is: 46,401,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882,051 : 21,413,622 = 21,413,622 : x
  2. Step 2: Convert to fraction form
    9,882,051/21,413,622 = 21,413,622/x
  3. Step 3: Cross multiply
    9,882,051x = 21,413,622 × 21,413,622
  4. Step 4: Simplify right side
    9,882,051x = 458,543,207,158,884
  5. Step 5: Solve for x
    x = 458,543,207,158,884/9,882,051
  6. Step 6: Final answer
    x = 46,401,623.22

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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.