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Finding the Third Proportional to 47,283,518 and 102,637,856

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Solution

The third proportional to 47,283,518 and 102,637,856 is: 222,794,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,283,518 : 102,637,856 = 102,637,856 : x
  2. Step 2: Convert to fraction form
    47,283,518/102,637,856 = 102,637,856/x
  3. Step 3: Cross multiply
    47,283,518x = 102,637,856 × 102,637,856
  4. Step 4: Simplify right side
    47,283,518x = 10,534,529,484,276,736
  5. Step 5: Solve for x
    x = 10,534,529,484,276,736/47,283,518
  6. Step 6: Final answer
    x = 222,794,959.64

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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.