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Finding the Third Proportional to 4,190,682,294 and 9,125,381,991

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Solution

The third proportional to 4,190,682,294 and 9,125,381,991 is: 19,870,892,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,682,294 : 9,125,381,991 = 9,125,381,991 : x
  2. Step 2: Convert to fraction form
    4,190,682,294/9,125,381,991 = 9,125,381,991/x
  3. Step 3: Cross multiply
    4,190,682,294x = 9,125,381,991 × 9,125,381,991
  4. Step 4: Simplify right side
    4,190,682,294x = 83,272,596,481,667,121,152
  5. Step 5: Solve for x
    x = 83,272,596,481,667,121,152/4,190,682,294
  6. Step 6: Final answer
    x = 19,870,892,289.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.