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Finding the Third Proportional to 51,051,710 and 109,279,534

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Solution

The third proportional to 51,051,710 and 109,279,534 is: 233,920,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,051,710 : 109,279,534 = 109,279,534 : x
  2. Step 2: Convert to fraction form
    51,051,710/109,279,534 = 109,279,534/x
  3. Step 3: Cross multiply
    51,051,710x = 109,279,534 × 109,279,534
  4. Step 4: Simplify right side
    51,051,710x = 11,942,016,551,257,156
  5. Step 5: Solve for x
    x = 11,942,016,551,257,156/51,051,710
  6. Step 6: Final answer
    x = 233,920,010.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.