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Finding the Third Proportional to 51,401,666 and 111,761,140

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Solution

The third proportional to 51,401,666 and 111,761,140 is: 242,998,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,401,666 : 111,761,140 = 111,761,140 : x
  2. Step 2: Convert to fraction form
    51,401,666/111,761,140 = 111,761,140/x
  3. Step 3: Cross multiply
    51,401,666x = 111,761,140 × 111,761,140
  4. Step 4: Simplify right side
    51,401,666x = 12,490,552,414,099,600
  5. Step 5: Solve for x
    x = 12,490,552,414,099,600/51,401,666
  6. Step 6: Final answer
    x = 242,998,980.11

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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.