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Finding the Third Proportional to 453,563,476,735.50 and 971,821,586,529

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Solution

The third proportional to 453,563,476,735.50 and 971,821,586,529 is: 2,082,260,244,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,563,476,735.50 : 971,821,586,529 = 971,821,586,529 : x
  2. Step 2: Convert to fraction form
    453,563,476,735.50/971,821,586,529 = 971,821,586,529/x
  3. Step 3: Cross multiply
    453,563,476,735.50x = 971,821,586,529 × 971,821,586,529
  4. Step 4: Simplify right side
    453,563,476,735.50x = 944,437,196,043,742,569,562,112
  5. Step 5: Solve for x
    x = 944,437,196,043,742,569,562,112/453,563,476,735.50
  6. Step 6: Final answer
    x = 2,082,260,244,676.84

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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.