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Finding the Third Proportional to 245,276,944 and 534,099,488

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Solution

The third proportional to 245,276,944 and 534,099,488 is: 1,163,021,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,276,944 : 534,099,488 = 534,099,488 : x
  2. Step 2: Convert to fraction form
    245,276,944/534,099,488 = 534,099,488/x
  3. Step 3: Cross multiply
    245,276,944x = 534,099,488 × 534,099,488
  4. Step 4: Simplify right side
    245,276,944x = 285,262,263,081,862,144
  5. Step 5: Solve for x
    x = 285,262,263,081,862,144/245,276,944
  6. Step 6: Final answer
    x = 1,163,021,107.61

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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.