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Finding the Third Proportional to 3,488,514,741 and 5,362,099,425

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Solution

The third proportional to 3,488,514,741 and 5,362,099,425 is: 8,241,934,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488,514,741 : 5,362,099,425 = 5,362,099,425 : x
  2. Step 2: Convert to fraction form
    3,488,514,741/5,362,099,425 = 5,362,099,425/x
  3. Step 3: Cross multiply
    3,488,514,741x = 5,362,099,425 × 5,362,099,425
  4. Step 4: Simplify right side
    3,488,514,741x = 28,752,110,243,585,331,200
  5. Step 5: Solve for x
    x = 28,752,110,243,585,331,200/3,488,514,741
  6. Step 6: Final answer
    x = 8,241,934,570.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.