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Finding the Third Proportional to 151,487,640 and 327,189,024

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Solution

The third proportional to 151,487,640 and 327,189,024 is: 706,675,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,487,640 : 327,189,024 = 327,189,024 : x
  2. Step 2: Convert to fraction form
    151,487,640/327,189,024 = 327,189,024/x
  3. Step 3: Cross multiply
    151,487,640x = 327,189,024 × 327,189,024
  4. Step 4: Simplify right side
    151,487,640x = 107,052,657,426,072,576
  5. Step 5: Solve for x
    x = 107,052,657,426,072,576/151,487,640
  6. Step 6: Final answer
    x = 706,675,854.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.