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Finding the Third Proportional to 69,431,172,672 and 150,698,599,296

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Solution

The third proportional to 69,431,172,672 and 150,698,599,296 is: 327,087,487,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,431,172,672 : 150,698,599,296 = 150,698,599,296 : x
  2. Step 2: Convert to fraction form
    69,431,172,672/150,698,599,296 = 150,698,599,296/x
  3. Step 3: Cross multiply
    69,431,172,672x = 150,698,599,296 × 150,698,599,296
  4. Step 4: Simplify right side
    69,431,172,672x = 22,710,067,829,776,372,989,952
  5. Step 5: Solve for x
    x = 22,710,067,829,776,372,989,952/69,431,172,672
  6. Step 6: Final answer
    x = 327,087,487,590.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.