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Finding the Third Proportional to 3,399,097,385 and 7,314,755,576

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Solution

The third proportional to 3,399,097,385 and 7,314,755,576 is: 15,741,134,506.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399,097,385 : 7,314,755,576 = 7,314,755,576 : x
  2. Step 2: Convert to fraction form
    3,399,097,385/7,314,755,576 = 7,314,755,576/x
  3. Step 3: Cross multiply
    3,399,097,385x = 7,314,755,576 × 7,314,755,576
  4. Step 4: Simplify right side
    3,399,097,385x = 53,505,649,136,623,091,712
  5. Step 5: Solve for x
    x = 53,505,649,136,623,091,712/3,399,097,385
  6. Step 6: Final answer
    x = 15,741,134,506.10

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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.