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Finding the Third Proportional to 338,525,584 and 467,765,453

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Solution

The third proportional to 338,525,584 and 467,765,453 is: 646,345,592.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,525,584 : 467,765,453 = 467,765,453 : x
  2. Step 2: Convert to fraction form
    338,525,584/467,765,453 = 467,765,453/x
  3. Step 3: Cross multiply
    338,525,584x = 467,765,453 × 467,765,453
  4. Step 4: Simplify right side
    338,525,584x = 218,804,519,020,295,200
  5. Step 5: Solve for x
    x = 218,804,519,020,295,200/338,525,584
  6. Step 6: Final answer
    x = 646,345,592.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.