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Finding the Third Proportional to 9,718,092 and 21,261,201

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Solution

The third proportional to 9,718,092 and 21,261,201 is: 46,515,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718,092 : 21,261,201 = 21,261,201 : x
  2. Step 2: Convert to fraction form
    9,718,092/21,261,201 = 21,261,201/x
  3. Step 3: Cross multiply
    9,718,092x = 21,261,201 × 21,261,201
  4. Step 4: Simplify right side
    9,718,092x = 452,038,667,962,401
  5. Step 5: Solve for x
    x = 452,038,667,962,401/9,718,092
  6. Step 6: Final answer
    x = 46,515,166.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.