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Finding the Third Proportional to 11,661,643 and 25,374,311

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Solution

The third proportional to 11,661,643 and 25,374,311 is: 55,211,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661,643 : 25,374,311 = 25,374,311 : x
  2. Step 2: Convert to fraction form
    11,661,643/25,374,311 = 25,374,311/x
  3. Step 3: Cross multiply
    11,661,643x = 25,374,311 × 25,374,311
  4. Step 4: Simplify right side
    11,661,643x = 643,855,658,724,721
  5. Step 5: Solve for x
    x = 643,855,658,724,721/11,661,643
  6. Step 6: Final answer
    x = 55,211,401.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.