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Finding the Third Proportional to 3,202,712,934 and 6,923,435,766

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Solution

The third proportional to 3,202,712,934 and 6,923,435,766 is: 14,966,674,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,712,934 : 6,923,435,766 = 6,923,435,766 : x
  2. Step 2: Convert to fraction form
    3,202,712,934/6,923,435,766 = 6,923,435,766/x
  3. Step 3: Cross multiply
    3,202,712,934x = 6,923,435,766 × 6,923,435,766
  4. Step 4: Simplify right side
    3,202,712,934x = 47,933,962,805,928,009,728
  5. Step 5: Solve for x
    x = 47,933,962,805,928,009,728/3,202,712,934
  6. Step 6: Final answer
    x = 14,966,674,751.60

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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.