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Finding the Third Proportional to 3,486,180,292 and 7,469,709,972

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Solution

The third proportional to 3,486,180,292 and 7,469,709,972 is: 16,005,072,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486,180,292 : 7,469,709,972 = 7,469,709,972 : x
  2. Step 2: Convert to fraction form
    3,486,180,292/7,469,709,972 = 7,469,709,972/x
  3. Step 3: Cross multiply
    3,486,180,292x = 7,469,709,972 × 7,469,709,972
  4. Step 4: Simplify right side
    3,486,180,292x = 55,796,567,065,796,239,360
  5. Step 5: Solve for x
    x = 55,796,567,065,796,239,360/3,486,180,292
  6. Step 6: Final answer
    x = 16,005,072,139.80

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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.