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Finding the Third Proportional to 1,844,387,808 and 3,952,370,352

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Solution

The third proportional to 1,844,387,808 and 3,952,370,352 is: 8,469,602,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844,387,808 : 3,952,370,352 = 3,952,370,352 : x
  2. Step 2: Convert to fraction form
    1,844,387,808/3,952,370,352 = 3,952,370,352/x
  3. Step 3: Cross multiply
    1,844,387,808x = 3,952,370,352 × 3,952,370,352
  4. Step 4: Simplify right side
    1,844,387,808x = 15,621,231,399,368,603,648
  5. Step 5: Solve for x
    x = 15,621,231,399,368,603,648/1,844,387,808
  6. Step 6: Final answer
    x = 8,469,602,396.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.