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Finding the Third Proportional to 368,338,182.47 and 552,372,020.16

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Solution

The third proportional to 368,338,182.47 and 552,372,020.16 is: 828,355,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,338,182.47 : 552,372,020.16 = 552,372,020.16 : x
  2. Step 2: Convert to fraction form
    368,338,182.47/552,372,020.16 = 552,372,020.16/x
  3. Step 3: Cross multiply
    368,338,182.47x = 552,372,020.16 × 552,372,020.16
  4. Step 4: Simplify right side
    368,338,182.47x = 305,114,848,651,496,640
  5. Step 5: Solve for x
    x = 305,114,848,651,496,640/368,338,182.47
  6. Step 6: Final answer
    x = 828,355,199.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.