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Finding the Third Proportional to 47,753,428 and 102,320,575

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Solution

The third proportional to 47,753,428 and 102,320,575 is: 219,240,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,753,428 : 102,320,575 = 102,320,575 : x
  2. Step 2: Convert to fraction form
    47,753,428/102,320,575 = 102,320,575/x
  3. Step 3: Cross multiply
    47,753,428x = 102,320,575 × 102,320,575
  4. Step 4: Simplify right side
    47,753,428x = 10,469,500,068,330,624
  5. Step 5: Solve for x
    x = 10,469,500,068,330,624/47,753,428
  6. Step 6: Final answer
    x = 219,240,806.51

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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.