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Finding the Third Proportional to 51,319,298 and 111,672,860

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Solution

The third proportional to 51,319,298 and 111,672,860 is: 243,004,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,319,298 : 111,672,860 = 111,672,860 : x
  2. Step 2: Convert to fraction form
    51,319,298/111,672,860 = 111,672,860/x
  3. Step 3: Cross multiply
    51,319,298x = 111,672,860 × 111,672,860
  4. Step 4: Simplify right side
    51,319,298x = 12,470,827,660,579,600
  5. Step 5: Solve for x
    x = 12,470,827,660,579,600/51,319,298
  6. Step 6: Final answer
    x = 243,004,642.44

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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.