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Finding the Third Proportional to 3,488,514,742 and 5,362,099,424

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Solution

The third proportional to 3,488,514,742 and 5,362,099,424 is: 8,241,934,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488,514,742 : 5,362,099,424 = 5,362,099,424 : x
  2. Step 2: Convert to fraction form
    3,488,514,742/5,362,099,424 = 5,362,099,424/x
  3. Step 3: Cross multiply
    3,488,514,742x = 5,362,099,424 × 5,362,099,424
  4. Step 4: Simplify right side
    3,488,514,742x = 28,752,110,232,861,130,752
  5. Step 5: Solve for x
    x = 28,752,110,232,861,130,752/3,488,514,742
  6. Step 6: Final answer
    x = 8,241,934,565.07

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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.