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Finding the Third Proportional to 11,102,721 and 25,701,201

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Solution

The third proportional to 11,102,721 and 25,701,201 is: 59,494,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102,721 : 25,701,201 = 25,701,201 : x
  2. Step 2: Convert to fraction form
    11,102,721/25,701,201 = 25,701,201/x
  3. Step 3: Cross multiply
    11,102,721x = 25,701,201 × 25,701,201
  4. Step 4: Simplify right side
    11,102,721x = 660,551,732,842,401
  5. Step 5: Solve for x
    x = 660,551,732,842,401/11,102,721
  6. Step 6: Final answer
    x = 59,494,580.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.