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Finding the Third Proportional to 53,977,246 and 117,538,413

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Solution

The third proportional to 53,977,246 and 117,538,413 is: 255,946,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977,246 : 117,538,413 = 117,538,413 : x
  2. Step 2: Convert to fraction form
    53,977,246/117,538,413 = 117,538,413/x
  3. Step 3: Cross multiply
    53,977,246x = 117,538,413 × 117,538,413
  4. Step 4: Simplify right side
    53,977,246x = 13,815,278,530,558,568
  5. Step 5: Solve for x
    x = 13,815,278,530,558,568/53,977,246
  6. Step 6: Final answer
    x = 255,946,339.51

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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.