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Finding the Third Proportional to 642,879,614 and 1,395,354,172

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Solution

The third proportional to 642,879,614 and 1,395,354,172 is: 3,028,581,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,879,614 : 1,395,354,172 = 1,395,354,172 : x
  2. Step 2: Convert to fraction form
    642,879,614/1,395,354,172 = 1,395,354,172/x
  3. Step 3: Cross multiply
    642,879,614x = 1,395,354,172 × 1,395,354,172
  4. Step 4: Simplify right side
    642,879,614x = 1,947,013,265,317,805,568
  5. Step 5: Solve for x
    x = 1,947,013,265,317,805,568/642,879,614
  6. Step 6: Final answer
    x = 3,028,581,437.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.