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Finding the Third Proportional to 219,769,037,614 and 476,048,420,685

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Solution

The third proportional to 219,769,037,614 and 476,048,420,685 is: 1,031,183,015,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,769,037,614 : 476,048,420,685 = 476,048,420,685 : x
  2. Step 2: Convert to fraction form
    219,769,037,614/476,048,420,685 = 476,048,420,685/x
  3. Step 3: Cross multiply
    219,769,037,614x = 476,048,420,685 × 476,048,420,685
  4. Step 4: Simplify right side
    219,769,037,614x = 226,622,098,836,682,744,791,040
  5. Step 5: Solve for x
    x = 226,622,098,836,682,744,791,040/219,769,037,614
  6. Step 6: Final answer
    x = 1,031,183,015,119.35

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