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Finding the Third Proportional to 2,438,180,451 and 5,342,168,922

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Solution

The third proportional to 2,438,180,451 and 5,342,168,922 is: 11,704,945,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438,180,451 : 5,342,168,922 = 5,342,168,922 : x
  2. Step 2: Convert to fraction form
    2,438,180,451/5,342,168,922 = 5,342,168,922/x
  3. Step 3: Cross multiply
    2,438,180,451x = 5,342,168,922 × 5,342,168,922
  4. Step 4: Simplify right side
    2,438,180,451x = 28,538,768,791,182,643,200
  5. Step 5: Solve for x
    x = 28,538,768,791,182,643,200/2,438,180,451
  6. Step 6: Final answer
    x = 11,704,945,292.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.