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Finding the Third Proportional to 147,964,015 and 317,744,453

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Solution

The third proportional to 147,964,015 and 317,744,453 is: 682,338,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,964,015 : 317,744,453 = 317,744,453 : x
  2. Step 2: Convert to fraction form
    147,964,015/317,744,453 = 317,744,453/x
  3. Step 3: Cross multiply
    147,964,015x = 317,744,453 × 317,744,453
  4. Step 4: Simplify right side
    147,964,015x = 100,961,537,412,269,216
  5. Step 5: Solve for x
    x = 100,961,537,412,269,216/147,964,015
  6. Step 6: Final answer
    x = 682,338,455.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.