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Finding the Third Proportional to 55,742,458 and 120,027,338

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Solution

The third proportional to 55,742,458 and 120,027,338 is: 258,448,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742,458 : 120,027,338 = 120,027,338 : x
  2. Step 2: Convert to fraction form
    55,742,458/120,027,338 = 120,027,338/x
  3. Step 3: Cross multiply
    55,742,458x = 120,027,338 × 120,027,338
  4. Step 4: Simplify right side
    55,742,458x = 14,406,561,867,366,244
  5. Step 5: Solve for x
    x = 14,406,561,867,366,244/55,742,458
  6. Step 6: Final answer
    x = 258,448,629.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.