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Finding the Third Proportional to 219,769,037,610 and 476,048,420,680.50

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Solution

The third proportional to 219,769,037,610 and 476,048,420,680.50 is: 1,031,183,015,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,769,037,610 : 476,048,420,680.50 = 476,048,420,680.50 : x
  2. Step 2: Convert to fraction form
    219,769,037,610/476,048,420,680.50 = 476,048,420,680.50/x
  3. Step 3: Cross multiply
    219,769,037,610x = 476,048,420,680.50 × 476,048,420,680.50
  4. Step 4: Simplify right side
    219,769,037,610x = 226,622,098,832,398,313,586,688
  5. Step 5: Solve for x
    x = 226,622,098,832,398,313,586,688/219,769,037,610
  6. Step 6: Final answer
    x = 1,031,183,015,118.63

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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.