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Finding the Third Proportional to 1,429,794,462 and 3,085,419,516

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Solution

The third proportional to 1,429,794,462 and 3,085,419,516 is: 6,658,169,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,794,462 : 3,085,419,516 = 3,085,419,516 : x
  2. Step 2: Convert to fraction form
    1,429,794,462/3,085,419,516 = 3,085,419,516/x
  3. Step 3: Cross multiply
    1,429,794,462x = 3,085,419,516 × 3,085,419,516
  4. Step 4: Simplify right side
    1,429,794,462x = 9,519,813,589,713,674,240
  5. Step 5: Solve for x
    x = 9,519,813,589,713,674,240/1,429,794,462
  6. Step 6: Final answer
    x = 6,658,169,298.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.